Pre-Algebra Examples

${(9^{- 2})}^{8}$

Step 1

Multiply the exponents in ${(9^{- 2})}^{8}$ .

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Step 1.1

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

$9^{- 2 \cdot 8}$

Step 1.2

Multiply $- 2$ by $8$ .

$9^{- 16}$

Step 2

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

$\frac{1}{9^{16}}$

Step 3

Raise $9$ to the power of $16$ .

$\frac{1}{1853020188851840}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{1853020188851840}$

Decimal Form:

$5.39659527 \cdot 10^{- 16}$