Evaluate 2^-14*5^10

$2^{- 14} \cdot 5^{10}$

Step 1

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

$\frac{1}{2^{14}} \cdot 5^{10}$

Step 2

Evaluate the exponents.

Raise $2$ to the power of $14$ .

$\frac{1}{16384} \cdot 5^{10}$

Raise $5$ to the power of $10$ .

$\frac{1}{16384} \cdot 9765625$

Step 3

Combine $\frac{1}{16384}$ and $9765625$ .

$\frac{9765625}{16384}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{9765625}{16384}$

Decimal Form:

$596.04644775 \dots$

Mixed Number Form:

$596 \frac{761}{16384}$