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Question Simplify the expression (zw)2\left(\frac{z}{w}\right)^{2} by applying the appropriate property.

Studdy Solution

STEP 1

Assumptions
1. We have an expression in the form of (zw)2\left(\frac{z}{w}\right)^{2}.
2. We need to simplify this expression by clearing the parentheses using the appropriate property of exponents.

STEP 2

Recall the property of exponents that states when an entire fraction is raised to a power, both the numerator and the denominator are raised to that power.
(ab)n=anbn\left(\frac{a}{b}\right)^{n} = \frac{a^n}{b^n}

STEP 3

Apply the property to the given expression.
(zw)2=z2w2\left(\frac{z}{w}\right)^{2} = \frac{z^2}{w^2}

STEP 4

The parentheses are now cleared, and the expression is simplified.
□=z2w2\square = \frac{z^2}{w^2}

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