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Help plz if you know this then plz answer back! How do you solve (x to the power of -1) (x to the power of -5) The lesson is multiplying and dividing expressions with exponents.

User Onychomys
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2 Answers

4 votes

Answer:

(x⁻¹)(x⁻⁵) = x⁻⁶

Explanation:

When multiplying number with the same base, you add up their exponent.

(x⁻¹)(x⁻⁵) =

= x⁽⁻¹⁾ ⁺ ⁽⁻⁵⁾

= x⁻⁶

you can also write x⁻⁶ as 1/x⁶. The negative sign in the exponent just flip the numerator and denominator with each others.

User Neeleshkumar S
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4.4k points
1 vote

Answer:

The answer to your question is x⁻⁶ or 1/x⁶

Explanation:

Multiplying exponents

-To multiply exponents they must have the same base and the result will be the base and the exponents will add.

Ex

(a³)(a²)

base = a

exponents = 3 and 2

result a³ ⁺ ² = a⁵

In your question

(x⁻¹)(x⁻⁵) = x⁻¹⁻⁵ = x⁻⁶ = 1/x⁻⁶

User Ayush Malviya
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3.8k points