Simplify 3^5*2^-6

$3^{5} \cdot 2^{- 6}$

Step 1

Raise $3$ to the power of $5$ .

$243 \cdot 2^{- 6}$

Step 2

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

$243 \cdot \frac{1}{2^{6}}$

Step 3

Raise $2$ to the power of $6$ .

$243 \cdot \frac{1}{64}$

Step 4

Combine $243$ and $\frac{1}{64}$ .

$\frac{243}{64}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{243}{64}$

Decimal Form:

$3.796875$

Mixed Number Form:

$3 \frac{51}{64}$