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Rewrite using a single positive exponent 5^-8*5^5

Sagot :

Robabakry

Answer:

1/5^8 ⋅ 5^5

Step-by-step explanation:

Answer:

[tex]\frac{1}{5^{3} }[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] ,  [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

[tex]5^{-8}[/tex] × [tex]5^{5}[/tex]

= [tex]5^{(-8+5)}[/tex]

= [tex]5^{-3}[/tex]

= [tex]\frac{1}{5^{3} }[/tex]

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