Basic Math Examples

$\frac{10^{- (7 + 1)}}{10^{- 7}}$

Step 1

Move $10^{- (7 + 1)}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{10^{- 7} \cdot 10^{7 + 1}}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $10^{- 7}$ by $10^{7 + 1}$ by adding the exponents.

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Step 2.1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{1}{10^{- 7 + 7 + 1}}$

Step 2.1.2

Add $7$ and $1$ .

$\frac{1}{10^{- 7 + 8}}$

Step 2.1.3

Add $- 7$ and $8$ .

$\frac{1}{10^{1}}$

Step 2.2

Simplify $10^{1}$ .

$\frac{1}{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10}$

Decimal Form:

$0.1$