Precalculus Examples

$(6 x^{3}) (4 x^{7}) (x^{- 5})$

Step 1

Multiply $x^{3}$ by $x^{7}$ by adding the exponents.

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Step 1.1

Move $x^{7}$ .

$6 (x^{7} x^{3}) \cdot 4 x^{- 5}$

Step 1.2

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

$6 x^{7 + 3} \cdot 4 x^{- 5}$

Step 1.3

Add $7$ and $3$ .

$6 x^{10} \cdot 4 x^{- 5}$

Step 2

Multiply $x^{10}$ by $x^{- 5}$ by adding the exponents.

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Step 2.1

Move $x^{- 5}$ .

$6 (x^{- 5} x^{10}) \cdot 4$

Step 2.2

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

$6 x^{- 5 + 10} \cdot 4$

Step 2.3

Add $- 5$ and $10$ .

$6 x^{5} \cdot 4$

Step 3

Multiply $4$ by $6$ .

$24 x^{5}$