Basic Math Examples

${(5^{- 3})}^{6}$

Step 1

Multiply the exponents in ${(5^{- 3})}^{6}$ .

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Step 1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$5^{- 3 \cdot 6}$

Step 1.2

Multiply $- 3$ by $6$ .

$5^{- 18}$

Step 2

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

$\frac{1}{5^{18}}$

Step 3

Raise $5$ to the power of $18$ .

$\frac{1}{3814697265625}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3814697265625}$

Decimal Form:

$2.62144 \cdot 10^{- 13}$