Simplify ((2^2)/(2^3))^5

${(\frac{2^{2}}{2^{3}})}^{5}$

Step 1

Cancel the common factor of $2^{2}$ and $2^{3}$ .

Multiply by $1$ .

${(\frac{2^{2} \cdot 1}{2^{3}})}^{5}$

Cancel the common factors.

Factor $2^{2}$ out of $2^{3}$ .

${(\frac{2^{2} \cdot 1}{2^{2} \cdot 2})}^{5}$

Cancel the common factor.

${(\frac{2^{2} \cdot 1}{2^{2} \cdot 2})}^{5}$

Rewrite the expression.

${(\frac{1}{2})}^{5}$

${(\frac{1}{2})}^{5}$

${(\frac{1}{2})}^{5}$

Step 2

Simplify the expression.

Apply the product rule to $\frac{1}{2}$ .

$\frac{1^{5}}{2^{5}}$

One to any power is one.

$\frac{1}{2^{5}}$

Raise $2$ to the power of $5$ .

$\frac{1}{32}$

$\frac{1}{32}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{32}$

Decimal Form:

$0.03125$

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