Pre-Algebra Examples

${(\frac{360}{300})}^{\frac{3}{2}}$

Step 1

Cancel the common factor of $360$ and $300$ .

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Step 1.1

Factor $60$ out of $360$ .

${(\frac{60 (6)}{300})}^{\frac{3}{2}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $60$ out of $300$ .

${(\frac{60 \cdot 6}{60 \cdot 5})}^{\frac{3}{2}}$

Step 1.2.2

Cancel the common factor.

${(\frac{60 \cdot 6}{60 \cdot 5})}^{\frac{3}{2}}$

Step 1.2.3

Rewrite the expression.

${(\frac{6}{5})}^{\frac{3}{2}}$

${(\frac{6}{5})}^{\frac{3}{2}}$

${(\frac{6}{5})}^{\frac{3}{2}}$

Step 2

Apply the product rule to $\frac{6}{5}$ .

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$1.31453413 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$