Question

by what number should (4)to the power -5 be multiplied to get (4) to the power 12​

Answer 1

$\huge\bold{{\pink{Q}}{\blue{U}}{\green{E}}{\red{S}}{\purple{T}}{\orange{I}}{\pink{O}}{\blue{N}}{\green{❥}}}$

By what number should ${4}^{-5}$ be multiplied to get ${4}^{12}$ ?

$\huge\bold{{\pink{G}}{\blue{I}}{\green{V}}{\red{E}}{\purple{N}}{\green{❥}}}$

Product = ${4}^{12}$

One number = ${4}^{-5}$

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Let the number be x.

According to condition,

x × ${4}^{-5}$ = ${4}^{12}$

➳ x = $\frac{{4}^{12}}{{4}^{-5}}$

We know that:

$\large\red{\boxed{\red{\frac{{a}^{b}}{{a}^{c}}}={a}^{(b-c)}}}$

So,

x = $\frac{{4}^{12}}{{4}^{-5}}$

➳ x = ${4}^{[12-(-5)]}$

➳ x = ${4}^{(12+5)}$

➳ x = ${4}^{17}$

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x = ${4}^{17}$

$\huge\bold{{\pink{T}}{\blue{H}}{\green{E}}{\red{R}}{\purple{E}}{\orange{F}}{\pink{O}}{\blue{R}}{\red{E}}{\green{❥}}}$

${4}^{17}$ should ${4}^{-5}$ be multiplied to get ${4}^{12}$.

$\huge\bold{{\pink{D}}{\blue{O}}{\green{N}}{\red{E}}{\purple{࿐}}}$

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