Basic Math Examples

$\frac{7^{8} \cdot 7^{- 9}}{7^{- 10}}$

Step 1

Multiply $7^{8}$ by $7^{- 9}$ by adding the exponents.

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Step 1.1

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

$\frac{7^{8 - 9}}{7^{- 10}}$

Step 1.2

Subtract $9$ from $8$ .

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

Step 2

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

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

Step 3

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

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Step 3.1

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

$7^{- 1 + 10}$

Step 3.2

Add $- 1$ and $10$ .

$7^{9}$

Step 4

Raise $7$ to the power of $9$ .

$40353607$