Simplify (5^3*2^6)/(2^8)

$\frac{5^{3} \cdot 2^{6}}{2^{8}}$

Step 1

Cancel the common factor of $2^{6}$ and $2^{8}$ .

Factor $2^{6}$ out of $5^{3} \cdot 2^{6}$ .

$\frac{2^{6} \cdot 5^{3}}{2^{8}}$

Cancel the common factors.

Factor $2^{6}$ out of $2^{8}$ .

$\frac{2^{6} \cdot 5^{3}}{2^{6} \cdot 2^{2}}$

Cancel the common factor.

$\frac{2^{6} \cdot 5^{3}}{2^{6} \cdot 2^{2}}$

Rewrite the expression.

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

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

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

Step 2

Evaluate the exponents.

Raise $5$ to the power of $3$ .

$\frac{125}{2^{2}}$

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

$\frac{125}{4}$

$\frac{125}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{125}{4}$

Decimal Form:

$31.25$

Mixed Number Form:

$31 \frac{1}{4}$

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