Question

Use the product rule of exponents to simplify
3⁵ • 3⁷

A. 9³⁵
B. 3³⁵
C. 9¹²
D. 3¹²

Answer 1

Find the numerical equivalent of
5¹⁰ • 5^-⁶
The answer should not contain any exponent expression or decimals.

Answer 2

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.

Answer 3

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.