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

Math
Simplify the expression.
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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.
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Apply the product rule to .
Apply the product rule to .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Raise to the power of .
Multiply the exponents in .
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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.
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Apply the product rule to .
Apply the product rule to .
Raise to the power of .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Simplify the numerator.
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Combine and .
Combine and .
Combine and .
Combine and .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Multiply by .
Simplify the numerator.
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Reduce the expression by cancelling the common factors.
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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 .
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Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Multiply by by adding the exponents.
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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)

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