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Exercise

$4a^2b^0\cdot4ab^2$

Step-by-step Solution

1

Multiply $4$ times $4$

$16a^2b^0ab^2$
2

Any expression (except $0$ and $\infty$) to the power of $0$ is equal to $1$

$16a^2ab^2$
3

When multiplying exponents with same base you can add the exponents: $16a^2ab^2$

$16a^{2+1}b^2$
4

Add the values $2$ and $1$

$16a^{3}b^2$

Final answer to the exercise

$16a^{3}b^2$

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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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