To simplify the expression 3⁵ • 3⁷ using the product rule of exponents, you add the exponents together.
So, 3⁵ • 3⁷ = 3^(5+7) = 3¹².
Therefore, the answer is D. 3¹².
Use the product rule of exponents to simplify
3⁵ • 3⁷
A. 9³⁵
B. 3³⁵
C. 9¹²
D. 3¹²
3 answers
Find the numerical equivalent of
5¹⁰ • 5^-⁶
The answer should not contain any exponent expression or decimals.
5¹⁰ • 5^-⁶
The answer should not contain any exponent expression or decimals.
To find the numerical equivalent of 5¹⁰ • 5^-⁶, we can use the quotient rule of exponents.
According to the quotient rule, when dividing two powers with the same base, you subtract the exponents.
So, 5¹⁰ • 5^-⁶ = 5^(10 - (-6)) = 5^(10 + 6) = 5^16.
Therefore, the numerical equivalent of 5¹⁰ • 5^-⁶ is 5^16.
According to the quotient rule, when dividing two powers with the same base, you subtract the exponents.
So, 5¹⁰ • 5^-⁶ = 5^(10 - (-6)) = 5^(10 + 6) = 5^16.
Therefore, the numerical equivalent of 5¹⁰ • 5^-⁶ is 5^16.