1. Which exponent makes the statement true? Start Fraction 1 over 5 superscript 9 baseline End Fraction equals 5 superscript question-mark baseline (1 point)
9
–9
one-ninth
–one-ninth
2. y5 • y14 = (1 point)
2y19
y60
y19
2y60
3. Start Fraction w superscript 12 baseline over w superscript 18 baseline End Fraction (1 point)
w30
w–30
w6
w–6
4. What is the value of (10)0? (1 point)
–10
1
10
0
5. five to the fifth power over five squared=
(1 point)
51
52
53
54
FinishCancel
I have no idea what all that means. Write fractions with parentheses and virgules, as in
(1/5)^9 or 5^5/7
im thinking -1 over 9
2 is c
whats #3?
The answer is indeed -9
1. To find the exponent that makes the statement true, we need to solve the equation:
Start Fraction 1 over 5 superscript 9 baseline End Fraction equals 5 superscript question-mark baseline.
To solve this, we can rewrite the equation using the rules of exponents. When we raise a fraction to an exponent, we raise both the numerator and the denominator to that exponent. So, the equation becomes:
(1^9) / (5^9) = 5^?
Simplifying the left side, we have:
1/5^9 = 5^?
To find the value of the exponent, we can rewrite the right side using the rule that states that if we have a number raised to an exponent and we raise that expression to another exponent, we multiply the exponents. So, the equation becomes:
1/5^9 = 5^(1 * ?)
Now, we can simplify the equation by equating the exponents:
1 = 5^(1 * ?)
Since any number raised to the power of 0 is equal to 1, we can conclude that the exponent that makes the statement true is 0.
Answer: 0
2. To find the product of y^5 and y^14, we need to combine the powers of y. According to the exponent rule for multiplication, when we multiply two numbers with the same base, we add their exponents. So, the equation becomes:
y^5 * y^14 = y^(5 + 14)
Simplifying the exponent, we have:
y^5 * y^14 = y^19
Answer: y^19
3. To simplify the expression (w^12) / (w^18), we can apply the exponent rule for division. The rule states that when we divide two numbers with the same base, we subtract their exponents. So, the equation becomes:
(w^12) / (w^18) = w^(12 - 18)
Simplifying the exponent, we have:
(w^12) / (w^18) = w^(-6)
Answer: w^(-6)
4. To find the value of (10)^0, we need to evaluate any number raised to the power of 0. According to the exponent rule, any number (except 0 itself) raised to the power of 0 is equal to 1. Therefore:
(10)^0 = 1
Answer: 1
5. To simplify the expression (5^5) / (5^2), we can apply the exponent rule for division. The rule states that when we divide two numbers with the same base, we subtract their exponents. So, the equation becomes:
(5^5) / (5^2) = 5^(5 - 2)
Simplifying the exponent, we have:
(5^5) / (5^2) = 5^3
Answer: 5^3 = 125
–9
y to the 19th power
w to the –6th power
1
5 to the 3rd power