Precalculus Examples

$64 {(\frac{1}{4})}^{7 - 1}$

Step 1

Simplify the expression.

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Step 1.1

Subtract $1$ from $7$ .

$64 {(\frac{1}{4})}^{6}$

Step 1.2

Apply the product rule to $\frac{1}{4}$ .

$64 \frac{1^{6}}{4^{6}}$

Step 1.3

One to any power is one.

$64 \frac{1}{4^{6}}$

Step 1.4

Raise $4$ to the power of $6$ .

$64 (\frac{1}{4096})$

$64 (\frac{1}{4096})$

Step 2

Cancel the common factor of $64$ .

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Step 2.1

Factor $64$ out of $4096$ .

$64 \frac{1}{64 (64)}$

Step 2.2

Cancel the common factor.

$64 \frac{1}{64 \cdot 64}$

Step 2.3

Rewrite the expression.

$\frac{1}{64}$

$\frac{1}{64}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{64}$

Decimal Form:

$0.015625$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$