Use the power rule to distribute the exponent.

Apply the product rule to .

Apply the product rule to .

Rewrite as .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Raise to the power of .

Rewrite the expression using the negative exponent rule .

Multiply .

Combine and .

Combine and .

Move to the left of .

Use the power rule to distribute the exponent.

Apply the product rule to .

Apply the product rule to .

Simplify the numerator.

Rewrite as .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply .

Combine and .

Multiply by .

Multiply the numerator by the reciprocal of the denominator.

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Combine and .

Combine and .

Move .

Use the power rule to combine exponents.

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

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 .

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Multiply by .

Add and .

Move to the left of .

Simplify ((9st)^(3/2))/((27s^3t^-4)^(2/3))