Basic Math Examples

${(15^{9})}^{- 7}$

Step 1

Multiply the exponents in ${(15^{9})}^{- 7}$ .

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Step 1.1

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

$15^{9 \cdot - 7}$

Step 1.2

Multiply $9$ by $- 7$ .

$15^{- 63}$

Step 2

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

$\frac{1}{15^{63}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{15^{63}}$

Decimal Form:

$8.05843448 \cdot 10^{- 75}$