Algebra Examples

$2^{- 9} \times 4^{3}$

Step 1

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

$\frac{1}{2^{9}} \cdot 4^{3}$

Step 2

Evaluate the exponents.

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Step 2.1

Raise $2$ to the power of $9$ .

$\frac{1}{512} \cdot 4^{3}$

Step 2.2

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

$\frac{1}{512} \cdot 64$

Step 3

Cancel the common factor of $64$ .

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Step 3.1

Factor $64$ out of $512$ .

$\frac{1}{64 (8)} \cdot 64$

Step 3.2

Cancel the common factor.

$\frac{1}{64 \cdot 8} \cdot 64$

Step 3.3

Rewrite the expression.

$\frac{1}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{8}$

Decimal Form:

$0.125$