# Simplify ((21*a*b^2)^-3)/((14^2*a*b^-2)^-3*3^-2*a^3*b^-2) Simplify the expression.
Move to the denominator using the negative exponent rule .
Move to the numerator using the negative exponent rule .
Move to the numerator using the negative exponent rule .
Move to the numerator using the negative exponent rule .
Simplify the numerator.
Apply the product rule to .
Apply the product rule to .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Raise to the power of .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Rewrite the expression using the negative exponent rule .
Raise to the power of .
Simplify the denominator.
Apply the product rule to .
Apply the product rule to .
Raise to the power of .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Simplify the numerator.
Combine and .
Combine and .
Combine and .
Combine and .
Multiply by by adding the exponents.
Move .
Use the power rule to combine exponents.
Multiply by .
Simplify the numerator.
Reduce the expression by cancelling the common factors.
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move to the left of .
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.
Multiply and .
Multiply by by adding the exponents.
Move .
Use the power rule to combine exponents.