Basic Math Examples

{(\frac{64}{1024})}^{3}

${(\frac{64}{1024})}^{3}$

Step 1

Cancel the common factor of

64

$64$ and

1024

$1024$ .

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Step 1.1

Factor

64

$64$ out of

64

$64$ .

{(\frac{64 (1)}{1024})}^{3}

${(\frac{64 (1)}{1024})}^{3}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

64

$64$ out of

1024

$1024$ .

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

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

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

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

Step 2

Simplify the expression.

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Step 2.1

Apply the product rule to

$\frac{1}{16}$ .

$\frac{1^{3}}{16^{3}}$

Step 2.2

One to any power is one.

$\frac{1}{16^{3}}$

Step 2.3

Raise

$16$ to the power of

$3$ .

$\frac{1}{4096}$

$\frac{1}{4096}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4096}$

Decimal Form:

$0.00024414 \dots$

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