Basic Math Examples

$30$ , $0^{\frac{5}{2}}$

Step 1

Simplify the expression.

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Step 1.1

Rewrite $0$ as $0^{2}$ .

$30, {(0^{2})}^{\frac{5}{2}}$

Step 1.2

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

$30, 0^{2 (\frac{5}{2})}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$30, 0^{2 (\frac{5}{2})}$

Step 2.2

Rewrite the expression.

$30, 0^{5}$

Step 3

Raising $0$ to any positive power yields $0$ .

$30, 0$

Step 4

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{30 + 0}{2}$

Step 5

Cancel the common factor of $30 + 0$ and $2$ .

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Step 5.1

Factor $2$ out of $30$ .

$\frac{2 \cdot 15 + 0}{2}$

Step 5.2

Factor $2$ out of $0$ .

$\frac{2 \cdot 15 + 2 \cdot 0}{2}$

Step 5.3

Factor $2$ out of $2 \cdot 15 + 2 \cdot 0$ .

$\frac{2 \cdot (15 + 0)}{2}$

Step 5.4

Cancel the common factors.

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Step 5.4.1

Factor $2$ out of $2$ .

$\frac{2 \cdot (15 + 0)}{2 (1)}$

Step 5.4.2

Cancel the common factor.

$\frac{2 \cdot (15 + 0)}{2 \cdot 1}$

Step 5.4.3

Rewrite the expression.

$\frac{15 + 0}{1}$

Step 5.4.4

Divide $15 + 0$ by $1$ .

$15 + 0$

Step 6

Add $15$ and $0$ .

$15$