Algebra Examples

${(4^{- 2} \cdot 5^{0} \cdot 64)}^{3}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

${(\frac{1}{4^{2}} \cdot 5^{0} \cdot 64)}^{3}$

Step 2

Simplify the expression.

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Step 2.1

Raise $4$ to the power of $2$ .

${(\frac{1}{16} \cdot 5^{0} \cdot 64)}^{3}$

Step 2.2

Anything raised to $0$ is $1$ .

${(\frac{1}{16} \cdot 1 \cdot 64)}^{3}$

Step 2.3

Multiply $\frac{1}{16}$ by $1$ .

${(\frac{1}{16} \cdot 64)}^{3}$

Step 3

Cancel the common factor of $16$ .

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Step 3.1

Factor $16$ out of $64$ .

${(\frac{1}{16} \cdot (16 (4)))}^{3}$

Step 3.2

Cancel the common factor.

${(\frac{1}{16} \cdot (16 \cdot 4))}^{3}$

Step 3.3

Rewrite the expression.

$4^{3}$

Step 4

Raise $4$ to the power of $3$ .

$64$