Basic Math Examples

$\frac{8^{- 1} \cdot 5^{3}}{2^{- 4}}$

Step 1

Move $8^{- 1}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{5^{3}}{2^{- 4} \cdot 8}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $8$ as $2^{3}$ .

$\frac{5^{3}}{2^{- 4} \cdot 2^{3}}$

Step 2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{5^{3}}{2^{- 4 + 3}}$

Step 2.3

Add $- 4$ and $3$ .

$\frac{5^{3}}{2^{- 1}}$

Step 3

Move $2^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$5^{3} \cdot 2$

Step 4

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

$125 \cdot 2$

Step 5

Multiply $125$ by $2$ .

$250$