Algebra Examples

${(2 x)}^{\frac{1}{5}} \cdot {(2 x)}^{\frac{- 1}{5}}$

Step 1

Multiply ${(2 x)}^{\frac{1}{5}}$ by ${(2 x)}^{\frac{- 1}{5}}$ by adding the exponents.

Tap for more steps...

Step 1.1

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

${(2 x)}^{\frac{1}{5} + \frac{- 1}{5}}$

Step 1.2

Combine the numerators over the common denominator.

${(2 x)}^{\frac{1 - 1}{5}}$

Step 1.3

Subtract $1$ from $1$ .

${(2 x)}^{\frac{0}{5}}$

Step 1.4

Divide $0$ by $5$ .

${(2 x)}^{0}$

Step 2

Simplify ${(2 x)}^{0}$ .

$1$