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 .

Add and .

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 .

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