Basic Math Examples

17^{- 18} \div 17^{7}

$17^{- 18} \div 17^{7}$

Step 1

Rewrite the division as a fraction.

\frac{17^{- 18}}{17^{7}}

$\frac{17^{- 18}}{17^{7}}$

Step 2

Move

17^{- 18}

$17^{- 18}$ to the denominator using the negative exponent rule

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

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

\frac{1}{17^{7} \cdot 17^{18}}

$\frac{1}{17^{7} \cdot 17^{18}}$

Step 3

Multiply

17^{7}

$17^{7}$ by

17^{18}

$17^{18}$ by adding the exponents.

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Step 3.1

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

\frac{1}{17^{7 + 18}}

$\frac{1}{17^{7 + 18}}$

Step 3.2

Add

7

$7$ and

18

$18$ .

\frac{1}{17^{25}}

$\frac{1}{17^{25}}$

\frac{1}{17^{25}}

$\frac{1}{17^{25}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{1}{17^{25}}

$\frac{1}{17^{25}}$

Decimal Form:

1.73291382 \cdot 10^{- 31}

$1.73291382 \cdot 10^{- 31}$