Simplify (x^(7/5))/(x^(4/5))

$\frac{x^{\frac{7}{5}}}{x^{\frac{4}{5}}}$

Step 1

Move $x^{\frac{4}{5}}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$x^{\frac{7}{5}} x^{- \frac{4}{5}}$

Step 2

Multiply $x^{\frac{7}{5}}$ by $x^{- \frac{4}{5}}$ by adding the exponents.

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

$x^{\frac{7}{5} - \frac{4}{5}}$

Combine the numerators over the common denominator.

$x^{\frac{7 - 4}{5}}$

Subtract $4$ from $7$ .

$x^{\frac{3}{5}}$