CLICK HERE |!!!!PLEASE HELP WITH THISS!!!. Lesson 9: Exponents and Exponential Functions Unit Test CE 2015 Algebra 1 B Unit 2: Exponents and Exponential Functions
1.-(6)^-1
6
1/6
-1/6
-6
2. (-8.3)^0
1
-1
0
-8.3
3. -1/a^-2
-a^2
-2/a
-2a
a^2
4. 4^6 times 4^3
4^9
4^18
12^9'64^9
Simplify the expression
(5)^-5(5)^7
1/25
25
10
5^-35
6.(y^6)^2
2y^12
y^12
Y^8
y^36
7. (3t^5)^-3
9/t^15
3/t^15
27/t^15
1/27t^15
8. What is the value of 11x^-3y^-1 for x=-1 and y=2
-2/11
-22
-66
-11/2
9.( t^-4)^-9 t^2
10.(y/7y^5)^2
11.determine if the number 5.1 x 10^-8 is written in scientfic notation. if not, explain
12. What is the order of 4 x 10^-7 , 7 x 10^-9, 1 x 10^4 , 2 x 10^4 from least to greatest
13. find the simplified form of the expression. Give your answer in scientific notatio
(8 x 10^4)(9 x 10^-8)
14 Astronomers measure large distances in light-years. One light-year the distance that light can travel in one year, or approximately 5.88x10^12 miles. Suppose a star is 3.2x10^2 light-years from Earth. In Scientific notation, approximately how many miles is it?
15. A dinosaur fossil is 91,910,000 years old. How can you express this age in scientific notation with the highest level of precision
(What is the scientfic notation for that number)
16. Radio signals trvael at a rate of 3 x 10^8 meters per second. How many seconds would it take for a redio signal to travel from a satellite to the surface of earth if the satellite is orbiting a height of 3.6 x 10^7 meters? (Hint: time is distance divided by rate)
17. does this table represent an exponential function
x 1 2 3 4
y 4 16 64 256
18. does the rule y=6x^7 represent an exponential function
21. Suppose that the amount of algae in a pond doubles every 4 hours if the pond initially contains 90 pounds of algae, how much algae will be in the pond after 12 hours?
23. A $4,000.00 principal earns 5% interest, compunded annually. After 4 years, what is the balance in the account
24. A boat costs $92,000.00 and depreciates in value by 15% per year. How much will the boat be worth after 10 years
THANK YOU FOR YOUR TIME HAVE A NICE DAY :)))))))
I got a 20/24 so I'll just be putting the correct answers
1. A = -1/5
2. D = 1
3. A = -1/a^-2
5. B = 25
6. B = y^12
8. A = -12/5
9. C = t^38
10. C = 16/49y^10
11. A = yes; the # is written in SN
13. B = 2.4 x 10^3
14. B = 5.76 x 10^14 miles
15. C = 9.19 x 10^7
16. B = 1.2 x 10^-1 seconds
17. Does the table represent an exponential function? x: 1, 2, 3 ,4
Y: 4, 16, 64, 256 = YES
18. Does the rule y=6x^7 represent an exponential function = NO
19. y=-5(3^x) = C. its the answer that has the line in the bottom left box
20. y=1/5 (3^x) = B. The line touches the two top squares staring from the left to the top
22. y=10(2^x) = B. Its the wider half U
23. A = $3,712.05
24. D = $9,827.07
unit 2, lesson 9: exponents and exponential functions unit test for california connections academy
** these were the correct answers for the test that i took, apologies if it's not correct for your test **
** i start giving the letter answers with the word and scientific notation problems, the equations have the answer after the equal sign **
1) -(5)^-1 = -1/5
2) (-8.3)^0 = 1
3) -1/y^-4 = -y^4
4) 4^6(4^3) = 4^9
5) (3)^10(3)^-9 = 3
6)(t^8)^2 = t^16
7) (5t^3)^-4 = 1/625t^12
8) what is the value of 12x^-3y^-1 for x = -1 and y = 5?
a) -12/5
9) (y^-5)^-10y^10 = y^60
10) (4/7y^5)^2 = 16/49y^10
11) determine if the number is written in scientific notation. if not, explain 2.01 x 10^-5 .
c) yes; the number is written in scientific notation
12) what is the order of 4 x 10^-7 , 7 x 10^-9 , 1 x 10^4 , 2 x 10^4 from least to greatest?
c) 7 x 10^-9 , 4 x 10^-7 , 1 x 10^4 , 2 x 10^4
13) find the simplified form of the expression. give your answer in scientific notation. (8 x 10^4)(9 x 10^-8)
b) 7.2 x 10^-3
14) astronomers measure large distances in light-years. one light-year is the distance that light can travel in one year, or approximately 5.88 x 10^12 miles. suppose a star is 3.2 x 10^2 light-years from earth. in scientific notation, approximately how many miles is it?
d) 1.88 x 10^15
15) a dinosaur fossil is 92,170,000 years old. how can you express this age in scientific notation with the highest level of precision?
b) 9.217 x 10^7
16) radio signals travel at a rate of 3 x 10^8 meters per second. how many seconds would it take for a radio signal to travel from a satellite to the surface of earth if the satellite is orbiting at a height of 3.6x10^7 meters? (hint: time is distance divided by rate.)
b) 1.2 x 10^-1 seconds
17) does the table represent an exponential function?
x: 1 | 2 | 3 | 4 a) yes
y: 4 |16| 64 | 256
18) does the rule y = 6x^7 represent an exponential function?
b) no
19) choose the correct graph of the function y = -8(2^x)
a) the graph with a downward trend curve on the left bottom corner
20) choose the correct graph of the function y = 1/5(3^x)
b) the graph with an upward trend curve that goes from the left top
corner to the right top corner
21) in an appropriate environment guppies reproduce at an astounding rate. a population of breeding guppies doubles every 2 months. how many guppies will there be after 6 months if the beginning population is 180 guppies?
a) 1,440 guppies
22) mark raises guppies in an aquarium. he finds out that guppies reproduce very rapidly and the number doubles every month. He starts out with 10 guppies, and the function y = 10(2^x) models the number of guppies he will have after x months. which graph represents this function?
b) the graph with a positive curve trend. there are two graphs with a
positive cure trend, the answer for this question is the graph with a
larger positive curve trend.
23) a $3,300.00 principle earns 4% interest, compounded annually. after 3 years, what is the balance in the account?
a) 3,712.05
24) a boat costs $92,000.00 and depreciates in value by 15% per year. how much will the boat be worth after 10 years?
a) $18,112.45
To solve these problems, you will need to apply the rules of exponents and exponential functions. Let's go through each question one by one:
1. -(6)^-1:
To solve this, we need to apply the rule that an exponent on a negative number flips the sign of the base. So, -(6)^-1 = -1/(6)^1 = -1/6.
2. (-8.3)^0:
Any number raised to the power of zero is equal to 1. So, (-8.3)^0 = 1.
3. -1/a^-2:
To simplify this expression, we need to apply the rule that when dividing two terms with the same base and different exponents, we subtract the exponents. So, -1/a^-2 = -1/(1/a^2) = -a^2.
4. 4^6 times 4^3:
When multiplying two terms with the same base, we add the exponents. So, 4^6 times 4^3 = 4^(6+3) = 4^9.
5. (5)^-5(5)^7:
To simplify this expression, we need to apply the rule that when multiplying two terms with the same base, we add the exponents. So, (5)^-5(5)^7 = 5^(-5+7) = 5^2 = 25.
6. (y^6)^2:
When raising an exponent to another exponent, we multiply the exponents. So, (y^6)^2 = y^(6*2) = y^12.
7. (3t^5)^-3:
To simplify this expression, we need to apply the rule that when raising an exponent to a negative power, we flip the base and change the sign of the exponent. So, (3t^5)^-3 = 1/(3t^5)^3 = 1/(27t^(5*3)) = 1/(27t^15).
8. To find the value of 11x^-3y^-1 for x=-1 and y=2:
Replace x and y in the expression with their given values and evaluate. So, 11(-1)^(-3)(2)^(-1) = 11(-1/(-1)^3)(1/2) = -11/2.
9. (t^-4)^-9 t^2:
To simplify this expression, we need to apply the rule that when raising an exponent to another exponent, we multiply the exponents. So, (t^-4)^-9 t^2 = t^(-4*-9) t^2 = t^36 t^2 = t^(36+2) = t^38.
10. (y/7y^5)^2:
To simplify this expression, we need to apply the rule that when raising a fraction to a power, we apply the power to both the numerator and denominator. So, (y/7y^5)^2 = (y^2)/(7^2*y^(5*2)) = y^2/(49y^10).
11. To determine if the number 5.1 x 10^-8 is written in scientific notation, we check if the coefficient (5.1) is between 1 and 10 and the exponent (-8) is an integer. Since 5.1 is between 1 and 10 and -8 is an integer, 5.1 x 10^-8 is written in scientific notation.
Continue regarding the rest of the questions in a similar manner.
I will start you out.
2. From Google:
The zero exponent rule basically says that any base with an exponent of zero is equal to one. For example: x^0 = 1.