Basic Math Examples

${(\frac{11}{30})}^{0} \cdot {(\frac{11}{30})}^{3}$

Step 1

Multiply ${(\frac{11}{30})}^{0}$ by ${(\frac{11}{30})}^{3}$ by adding the exponents.

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Step 1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${(\frac{11}{30})}^{0 + 3}$

Step 1.2

Add $0$ and $3$ .

${(\frac{11}{30})}^{3}$

Step 2

Apply the product rule to $\frac{11}{30}$ .

$\frac{11^{3}}{30^{3}}$

Step 3

Raise $11$ to the power of $3$ .

$\frac{1331}{30^{3}}$

Step 4

Raise $30$ to the power of $3$ .

$\frac{1331}{27000}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1331}{27000}$

Decimal Form:

$0.049\overline{296}$