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Multiply powers of same base Calculator

Get detailed solutions to your math problems with our Multiply powers of same base step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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1

Solved example of multiply powers of same base

$4r^{-3}\cdot2r^2$
2

Multiply $4$ times $2$

$8r^{-3}r^2$
3

When multiplying exponents with same base we can add the exponents

$8r^{-1}$

4

Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$\frac{8}{r^{1}}$
5

Any expression to the power of $1$ is equal to that same expression

$\frac{8}{r}$
6

Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$8\left(\frac{1}{r^{\left|-1\right|}}\right)$

Multiplying the fraction by $8$

$\frac{1\cdot 8}{r^{\left|-1\right|}}$

Any expression multiplied by $1$ is equal to itself

$\frac{8}{r^{\left|-1\right|}}$
7

Multiplying the fraction by $8$

$\frac{8}{r^{\left|-1\right|}}$

Final Answer

$\frac{8}{r^{\left|-1\right|}}$

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