Algebra Examples

$a^{- 7} \cdot a^{4} \div a^{- 3}$

Step 1

Rewrite the division as a fraction.

$\frac{a^{- 7} \cdot a^{4}}{a^{- 3}}$

Step 2

Multiply $a^{- 7}$ by $a^{4}$ by adding the exponents.

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Step 2.1

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

$\frac{a^{- 7 + 4}}{a^{- 3}}$

Step 2.2

Add $- 7$ and $4$ .

$\frac{a^{- 3}}{a^{- 3}}$

Step 3

Cancel the common factor of $a^{- 3}$ .

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Step 3.1

Cancel the common factor.

$\frac{a^{- 3}}{a^{- 3}}$

Step 3.2

Rewrite the expression.

$1$