Algebra Examples

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

Step 1

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

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

Step 2

Evaluate the exponents.

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Step 2.1

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

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

Step 2.2

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

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

Step 3

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

$\frac{9765625}{128}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{9765625}{128}$

Decimal Form:

$76293.9453125$

Mixed Number Form:

$76293 \frac{121}{128}$