Basic Math Examples

$\frac{13^{- 3} \cdot 13^{4}}{13^{- 6}}$

Step 1

Multiply $13^{- 3}$ by $13^{4}$ 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.

$\frac{13^{- 3 + 4}}{13^{- 6}}$

Step 1.2

Add $- 3$ and $4$ .

$\frac{13^{1}}{13^{- 6}}$

Step 2

Simplify $13^{1}$ .

$\frac{13}{13^{- 6}}$

Step 3

Move $13^{- 6}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$13 \cdot 13^{6}$

Step 4

Multiply $13$ by $13^{6}$ by adding the exponents.

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Step 4.1

Multiply $13$ by $13^{6}$ .

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Step 4.1.1

Raise $13$ to the power of $1$ .

$13^{1} \cdot 13^{6}$

Step 4.1.2

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

$13^{1 + 6}$

Step 4.2

Add $1$ and $6$ .

$13^{7}$

Step 5

Raise $13$ to the power of $7$ .

$62748517$