# Simplify ((9st)^(3/2))/((27s^3t^-4)^(2/3)) Simplify the numerator.
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 .
Simplify the denominator.
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.
Cancel the common factor of .
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
Combine and .
Multiply by by adding the exponents.
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 .
Move to the left of .
Simplify ((9st)^(3/2))/((27s^3t^-4)^(2/3))

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