Simplify x^(3/4)*x^(1/5)

$x^{\frac{3}{4}} \cdot x^{\frac{1}{5}}$

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

$x^{\frac{3}{4} + \frac{1}{5}}$

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$x^{\frac{3}{4} \cdot \frac{5}{5} + \frac{1}{5}}$

To write $\frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$x^{\frac{3}{4} \cdot \frac{5}{5} + \frac{1}{5} \cdot \frac{4}{4}}$

Write each expression with a common denominator of $20$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{3}{4}$ and $\frac{5}{5}$ .

$x^{\frac{3 \cdot 5}{4 \cdot 5} + \frac{1}{5} \cdot \frac{4}{4}}$

Multiply $4$ by $5$ .

$x^{\frac{3 \cdot 5}{20} + \frac{1}{5} \cdot \frac{4}{4}}$

Multiply $\frac{1}{5}$ and $\frac{4}{4}$ .

$x^{\frac{3 \cdot 5}{20} + \frac{4}{5 \cdot 4}}$

Multiply $5$ by $4$ .

$x^{\frac{3 \cdot 5}{20} + \frac{4}{20}}$

Combine the numerators over the common denominator.

$x^{\frac{3 \cdot 5 + 4}{20}}$

Simplify the numerator.

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Multiply $3$ by $5$ .

$x^{\frac{15 + 4}{20}}$

Add $15$ and $4$ .

$x^{\frac{19}{20}}$

Simplify x^(3/4)*x^(1/5)

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