Question

Which rules of exponents will be used to evaluate the expression. check all that apply

[(7^5)(7^3)]^-4

quotient of powers
product of powers
power of a power
power of a product
negative exponent
zero exponent

plz help​

Answer 1

9514 1404 393

Answer:

• product of powers
• power of a power
• negative exponent

Explanation:

The value in square brackets is evaluated using the product of powers rule:

(7^5)(7^3) = 7^(5+3) = 7^8

Then the overall value is found using the power of a power rule:

[7^8]^-4 = 7^(8(-4)) = 7^-32

Finally, the expression value is found using the negative exponent rule:

7^(-32) = 1/7^32 = 1/1104427674243920646305299201