JaydalynnQ361701 JaydalynnQ361701
  • 03-11-2022
  • Mathematics
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How to simplify 5 to the 5th power and 5 to the 8th power as a fraction

How to simplify 5 to the 5th power and 5 to the 8th power as a fraction class=

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YesicaR191479 YesicaR191479
  • 03-11-2022

ANSWER

5⁻³

EXPLANATION

Here we can use the quotient property of exponents. If we have a quotient of two exponents with the same base, then:

[tex]\frac{a^b}{a^c}=a^{b-c}[/tex]

In this problem the base is 5 and the exponents are 5 and 8:

[tex]\frac{5^5}{5^8}=5^{5-8}=5^{-3}[/tex]

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