# Evaluate ((4*32^(3/2))/(128^(1/2)))^12 Simplify the numerator.
Rewrite as .
Rewrite as .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply .
Combine and .
Multiply by .
Use the power rule to combine exponents.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Apply basic rules of exponents.
Apply the product rule to .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Simplify the denominator.
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Raise to the power of .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Evaluate ((4*32^(3/2))/(128^(1/2)))^12

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