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

$\frac{2^{2}}{2^{3}} \cdot 2^{5}$

Step 1

Evaluate the exponents.

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

$\frac{4}{2^{3}} \cdot 2^{5}$

Raise $2$ to the power of $3$ .

$\frac{4}{8} \cdot 2^{5}$

$\frac{4}{8} \cdot 2^{5}$

Step 2

Cancel the common factor of $4$ and $8$ .

Factor $4$ out of $4$ .

$\frac{4 (1)}{8} \cdot 2^{5}$

Cancel the common factors.

Factor $4$ out of $8$ .

$\frac{4 \cdot 1}{4 \cdot 2} \cdot 2^{5}$

Cancel the common factor.

$\frac{4 \cdot 1}{4 \cdot 2} \cdot 2^{5}$

Rewrite the expression.

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

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

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

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $2^{5}$ .

$\frac{1}{2} \cdot (2 \cdot 2^{4})$

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot 2^{4})$

Rewrite the expression.

$2^{4}$

$2^{4}$

Step 4

Raise $2$ to the power of $4$ .

$16$

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