Simplify 2^-7*5^10

$2^{- 7} \cdot 5^{10}$

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

$\frac{1}{2^{7}} \cdot 5^{10}$

Evaluate the exponents.

Raise $2$ to the power of $7$ .

$\frac{1}{128} \cdot 5^{10}$

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

$\frac{1}{128} \cdot 9765625$

Combine $\frac{1}{128}$ and $9765625$ .

$\frac{9765625}{128}$

The result can be shown in multiple forms.

Exact Form:

$\frac{9765625}{128}$

Decimal Form:

$76293.9453125$

Mixed Number Form:

$76293 \frac{121}{128}$