Question

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

Answer 1

Product of a power, Power of a Power, Negative exponent (:

Explanation:

Answer 2

Three rules are used

1) Product of powers

2) Power of a power

3) Negative exponents

Step-by-step explanation:

The given expression is [(7)⁵(7)³]⁻⁴

To find the value of [(7)⁵(7)³]⁻⁴

[(7)⁵(7)³]⁻⁴ = [(7)⁵⁺³]⁻⁴ = [(7)⁸]⁻⁴(using product of powers rule)

[(7)⁵⁺³]⁻⁴ = [(7)⁸ˣ⁻⁴] = 7⁻³² [using powers of power rule)

7⁻³² = 1/7³² (using negative exponent rule)

Using three rules we can solve [(7)⁵(7)³]⁻⁴

Therefore the correct answers are

1) Product of powers

2) Power of a power

3) Negative exponents