Apply the product rule to .

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Combine and .

Move to the numerator using the negative exponent rule .

Move .

Use the power rule to combine exponents.

To write as a fraction with a common denominator, multiply by .

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

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Add and .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Simplify ((3x^(1/5))^4)/(x^(1/20))