Find the Exact Value (5(17)^2)/(10^3)

$\frac{5 {(17)}^{2}}{10^{3}}$

Step 1

Simplify the expression.

Raise $17$ to the power of $2$ .

$\frac{5 \cdot 289}{10^{3}}$

Raise $10$ to the power of $3$ .

$\frac{5 \cdot 289}{1000}$

Multiply $5$ by $289$ .

$\frac{1445}{1000}$

$\frac{1445}{1000}$

Step 2

Cancel the common factor of $1445$ and $1000$ .

Factor $5$ out of $1445$ .

$\frac{5 (289)}{1000}$

Cancel the common factors.

Factor $5$ out of $1000$ .

$\frac{5 \cdot 289}{5 \cdot 200}$

Cancel the common factor.

$\frac{5 \cdot 289}{5 \cdot 200}$

Rewrite the expression.

$\frac{289}{200}$

$\frac{289}{200}$

$\frac{289}{200}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{289}{200}$

Decimal Form:

$1.445$

Mixed Number Form:

$1 \frac{89}{200}$

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