Simplify 2^-9*4^3

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

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.

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

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

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

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

Step 3

Cancel the common factor of $64$ .

Factor $64$ out of $512$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{8}$

Decimal Form:

$0.125$