Algebra Examples

${(\frac{4^{5}}{4})}^{3}$

Step 1

Cancel the common factor of $4^{5}$ and $4$ .

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Step 1.1

Factor $4$ out of $4^{5}$ .

${(\frac{4 \cdot 4^{4}}{4})}^{3}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $4$ .

${(\frac{4 \cdot 4^{4}}{4 (1)})}^{3}$

Step 1.2.2

Cancel the common factor.

${(\frac{4 \cdot 4^{4}}{4 \cdot 1})}^{3}$

Step 1.2.3

Rewrite the expression.

${(\frac{4^{4}}{1})}^{3}$

Step 1.2.4

Divide $4^{4}$ by $1$ .

${(4^{4})}^{3}$

Step 2

Simplify the expression.

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Step 2.1

Multiply the exponents in ${(4^{4})}^{3}$ .

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Step 2.1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$4^{4 \cdot 3}$

Step 2.1.2

Multiply $4$ by $3$ .

$4^{12}$

Step 2.2

Raise $4$ to the power of $12$ .

$16777216$