Algebra Examples

$20 x^{6} \sqrt[3]{\frac{- 1}{1000}} x^{36}$

Step 1

Multiply $x^{6}$ by $x^{36}$ by adding the exponents.

Tap for more steps...

Step 1.1

Move $x^{36}$ .

$20 (x^{36} x^{6}) \sqrt[3]{\frac{- 1}{1000}}$

Step 1.2

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

$20 x^{36 + 6} \sqrt[3]{\frac{- 1}{1000}}$

Step 1.3

Add $36$ and $6$ .

$20 x^{42} \sqrt[3]{\frac{- 1}{1000}}$

Step 2

Move the negative in front of the fraction.

$20 x^{42} \sqrt[3]{- \frac{1}{1000}}$

Step 3

Rewrite $- \frac{1}{1000}$ as ${(- \frac{1}{10})}^{3}$ .

$20 x^{42} \sqrt[3]{{(- \frac{1}{10})}^{3}}$

Step 4

Pull terms out from under the radical, assuming real numbers.

$20 x^{42} (- \frac{1}{10})$

Step 5

Cancel the common factor of $10$ .

Tap for more steps...

Step 5.1

Move the leading negative in $- \frac{1}{10}$ into the numerator.

$20 x^{42} \frac{- 1}{10}$

Step 5.2

Factor $10$ out of $20 x^{42}$ .

$10 (2 x^{42}) \frac{- 1}{10}$

Step 5.3

Cancel the common factor.

$10 (2 x^{42}) \frac{- 1}{10}$

Step 5.4

Rewrite the expression.

$2 x^{42} \cdot - 1$

Step 6

Multiply $- 1$ by $2$ .

$- 2 x^{42}$