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Use operations of exponent to simplify

3^5/3^-6

1 Answer

1 vote

Answer:


\displaystyle (3^5)/(3^(-6))=3^(11)

Explanation:

Properties of Exponents

They can be used to simplify expressions of the form


b^x\cdot b^y=b^(x+y)


\displaystyle (b^x)/(b^y)=b^(x-y)

The last property will be used to simplify:


\displaystyle (3^5)/(3^(-6))=3^(5-(-6))=3^(5+6)=3^(11)


\mathbf{\displaystyle (3^5)/(3^(-6))=3^(11)}

User Michael Mason
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