Algebra Examples

${(u^{\frac{3}{2}})}^{2} \cdot v^{2}$

Step 1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$u^{\frac{3}{2} \cdot 2} \cdot v^{2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$u^{\frac{3}{2} \cdot 2} \cdot v^{2}$

Step 2.2

Rewrite the expression.

$u^{3} \cdot v^{2}$

$u^{3} v^{2}$