Basic Math Examples

{(8^{5})}^{- 4}

${(8^{5})}^{- 4}$

Step 1

Multiply the exponents in

{(8^{5})}^{- 4}

${(8^{5})}^{- 4}$ .

Tap for more steps...

Step 1.1

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

8^{5 \cdot - 4}

$8^{5 \cdot - 4}$

Step 1.2

Multiply

5

$5$ by

- 4

$- 4$ .

8^{- 20}

$8^{- 20}$

8^{- 20}

$8^{- 20}$

Step 2

Rewrite the expression using the negative exponent rule

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

\frac{1}{8^{20}}

$\frac{1}{8^{20}}$

Step 3

Raise

8

$8$ to the power of

20

$20$ .

\frac{1}{1152921504606850000}

$\frac{1}{1152921504606850000}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{1}{1152921504606850000}

$\frac{1}{1152921504606850000}$

Decimal Form:

8.67361737 \cdot 10^{- 19}

$8.67361737 \cdot 10^{- 19}$