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 .

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 .

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 .

Combine and .

Combine and .

Combine and .

Combine and .

Move .

Use the power rule to combine exponents.

Add and .

Multiply by .

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.

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Move .

Use the power rule to combine exponents.

Add and .

Move to the left of .

Simplify ((21*a*b^2)^-3)/((14^2*a*b^-2)^-3*3^-2*a^3*b^-2)