Which rules of exponents will be used to evaluate the expression.Check all that apply
2 answers:
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
Answer:
-Product of powers.
-Power of powers.
-Negative exponent.
-Power of a product.
Step-by-step explanation:
1. According to the product of powers, when you have two powers with equal base you must sum the exponents. Then you have:
2. The negative exponents indicates that 7⁸ is in the denominator. Based on this, you have:
3. Based on the power of powers, you can multiply the exponents. Then:
You can also apply the power of a product:
And then apply the step 2.
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