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Exponent Properties Calculator

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1

Here, we show you a step-by-step solved example of exponent properties. This solution was automatically generated by our smart calculator:

$\left(2b^3c^4\right)^2$
2

The power of a product is equal to the product of it's factors raised to the same power

$4\left(b^3\right)^2\left(c^4\right)^2$
3

$2^2\left(b^3c^4\right)^2$
4

Calculate the power $2^2$

$4\left(b^3c^4\right)^2$
5

Simplify $\left(b^3\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $3$ and $n$ equals $2$

$b^{3\cdot 2}\left(c^4\right)^2$
6

Multiply $3$ times $2$

$b^{6}\left(c^4\right)^2$
7

Multiply $3$ times $2$

$4b^{6}\left(c^4\right)^2$
8

Simplify $\left(b^3\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $3$ and $n$ equals $2$

$b^{3\cdot 2}\left(c^4\right)^2$
9

Multiply $3$ times $2$

$b^{6}\left(c^4\right)^2$
10

Simplify $\left(c^4\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $4$ and $n$ equals $2$

$b^{6}c^{4\cdot 2}$
11

Multiply $4$ times $2$

$b^{6}c^{8}$
12

Multiply $4$ times $2$

$4b^{6}c^{8}$
13

The power of a product is equal to the product of it's factors raised to the same power

$4b^{6}c^{8}$

Final answer to the exercise

$4b^{6}c^{8}$

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