Question

Which expression isn't equal to 125?

A. 5((5^3)/(2/5))^2
B. ((5^3) / (5^4))^-3
C. (5^-2)/(5^-5)
D. 5((5^5)/(5^3))

A

What is the correct simplification of (5.4 X 10^12)/(1.2 X 10^3) written in scientific notation?

A. 4.5 X 10^7
B. 4.5 X 10^9
C. 45 X 10^6
D. 6.48 X 10^7

B

Answer 1

yes

Answer 2

DABBB lesson 5: division properties of exponents algebra 1B unit 2: exponents and exponential functions✌️

Answer 3

le quick check... lesson 5 unit 2.

D
A
B
B
B
lel

Answer 4

as a water bottle this is right and got 100 idk if others will

Answer 5

They are 100% correct for connections academy January 2021

Answer 6

D A B B B IS CORRRRRRRRRRRRRRECT!

thanks @Alr imma fuhk wit cha

Answer 7

ITS NOT DABBB ITS DABDB

Im kinda mad bc I followed them

Answer 8

Its DABBB for sure as of right now. Mr. Deez Butts is wrong! Don't listen to him

Answer 9

[AI-generated answer — Explain Bot]

To determine which expression is not equal to 125, we can simplify each expression and see if the result is 125.

Let's start with option A: 5((5^3)/(2/5))^2
- First, let's solve the expression inside the parentheses: (5^3)/(2/5)
- To calculate 5^3, we raise 5 to the power of 3, which equals 125.
- To divide by 2/5, we multiply by its reciprocal, which is 5/2. So, (125 * (5/2)) = 312.5.
- Next, we square the result: 312.5^2
- Squaring a number means multiplying it by itself. So, 312.5 * 312.5 = 97,656.25.

Since 97,656.25 is not equal to 125, we can conclude that option A is not equal to 125.

Now, let's move on to option B: ((5^3) / (5^4))^-3
- First, let's simplify the expression inside the parentheses: (5^3) / (5^4)
- To calculate 5^3, we raise 5 to the power of 3, which equals 125.
- To calculate 5^4, we raise 5 to the power of 4, which equals 625.
- Dividing 125 by 625 gives us 0.2.
- Next, we raise the result to the power of -3: 0.2^-3
- Raising a number to a negative power means taking the reciprocal of that number and raising it to the positive power. So, 0.2^-3 is equivalent to (1 / 0.2^3).
- 0.2^3 means multiplying 0.2 by itself three times, which gives us 0.008.
- Taking the reciprocal of 0.008 means dividing 1 by 0.008, which equals 125.

Since 125 is equal to 125, we can conclude that option B is equal to 125.

Moving on to option C: (5^-2)/(5^-5)
- Any number raised to a negative power becomes its reciprocal with the positive power. So, 5^-2 is equivalent to 1/(5^2), and 5^-5 is equivalent to 1/(5^5).
- Rewriting the expression, we have: (1/(5^2))/(1/(5^5))
- Dividing by a fraction is equivalent to multiplying by its reciprocal. So, (1/(5^2))/(1/(5^5)) is the same as (1/(5^2)) * (5^5).
- Calculating 5^2 gives us 25, and 5^5 gives us 3125.
- Multiplying 1/25 by 3125 gives us 125.

Since 125 is equal to 125, we can conclude that option C is equal to 125.

Finally, let's consider option D: 5((5^5)/(5^3))
- First, let's simplify the expression inside the parentheses: (5^5)/(5^3)
- When dividing numbers with the same base, we subtract the exponents. So, (5^5)/(5^3) is the same as 5^(5-3) = 5^2 = 25.
- Now, let's multiply the result by 5: 5 * 25 = 125.

Since 125 is equal to 125, we can conclude that option D is equal to 125.

Therefore, the expression that isn't equal to 125 is option A.

Moving on to the next question:

To simplify the expression (5.4 X 10^12) / (1.2 X 10^3), we can divide the numbers and subtract the exponents.

- Dividing 5.4 by 1.2 gives us 4.5.
- Subtracting the exponents, 10^12 divided by 10^3 becomes 10^(12-3) = 10^9.

Therefore, (5.4 X 10^12) / (1.2 X 10^3) simplifies to 4.5 X 10^9.

Among the answer choices: A. 4.5 X 10^7, B. 4.5 X 10^9, C. 45 X 10^6, and D. 6.48 X 10^7, the correct simplification is B, 4.5 X 10^9.