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Exercise

$\left(x^{\frac{1}{4}}\right)\left(x^{\frac{1}{4}}\right)$

Step-by-step Solution

1

When multiplying exponents with same base we can add the exponents

$x^{\left(\frac{1}{4}+\frac{1}{4}\right)}$
2

Combine fractions with common denominator $4$

$x^{\frac{1+1}{4}}$
3

Add the values $1$ and $1$

$x^{\frac{2}{4}}$
4

Divide $2$ by $4$

$\sqrt{x}$

Final answer to the exercise

$\sqrt{x}$

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$\left(x^2\right)\left(x^2\right)$

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

Main Topic: Multiply powers of same base

When multiplying powers of same base we can add the exponents.

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