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Simplify.
Rewrite the expression in the form 5^n

Simplify Rewrite The Expression In The Form 5n class=

Sagot :

MrRoyalidn

Answer:

[tex]\frac{5^{-5}}{5^8} = 5^{-13}[/tex]

Step-by-step explanation:

Given

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

Required

Express as [tex]5^n[/tex]

We have:

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

Apply second law of indices

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

So, we have:

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

[tex]\frac{5^{-5}}{5^8} = 5^{-13}[/tex]

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