Basic Math Examples

$8^{- 5} \cdot 8^{2}$

Step 1

Multiply $8^{- 5}$ by $8^{2}$ by adding the exponents.

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Step 1.1

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

$8^{- 5 + 2}$

Step 1.2

Add $- 5$ and $2$ .

$8^{- 3}$

Step 2

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

$\frac{1}{8^{3}}$

Step 3

Raise $8$ to the power of $3$ .

$\frac{1}{512}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{512}$

Decimal Form:

$0.00195312 \dots$