Evaluate ((2^-2)^-4(2^3)^-2)/((2^-2)^2(2^5)^-3)

Math
Move to the denominator using the negative exponent rule .
Move to the denominator using the negative exponent rule .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Move to the numerator using the negative exponent rule .
Simplify the numerator.
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Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Raise to the power of .
Simplify the denominator.
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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 .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Raise to the power of .
Simplify terms.
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Combine and .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Evaluate ((2^-2)^-4(2^3)^-2)/((2^-2)^2(2^5)^-3)

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