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Colt1911 [192]
3 years ago
11

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

Mathematics
1 answer:
mart [117]3 years ago
3 0

Answer:

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

<u>To find the value of  [(7)⁵(7)³]⁻⁴ </u>

[(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

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