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Exercise

$\left[\left(-4\right)^5\right]^2$

Step-by-step Solution

1

Simplify ${\left(\left({\left(-4\right)}^5\right)\right)}^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $5$ and $n$ equals $2$

${\left(-4\right)}^{5\cdot 2}$
2

Multiply $5$ times $2$

${\left(-4\right)}^{10}$
3

Calculate the power ${\left(-4\right)}^{10}$

$1048576$

Final answer to the exercise

$1048576$

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Similar Questions Solved

$\sqrt[4]{x^3}$

$\left(2^3\right)^2$

$\left(5^3\right)^4$

$\sqrt[3]{x^3}$

$\left(2^2\right)^4$

$\left(3^2\right)^3$

$\sqrt[5]{x^3}$

Main Topic: Powers of powers

When we have a power inside another power, we can simplify multiplying the exponents: $\left(x^m\right)^n=x^{m\cdot n}$.

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