Basic Math Examples

${(\frac{5}{11})}^{0} \cdot {(\frac{5}{11})}^{3}$

Step 1

Multiply ${(\frac{5}{11})}^{0}$ by ${(\frac{5}{11})}^{3}$ 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.

${(\frac{5}{11})}^{0 + 3}$

Step 1.2

Add $0$ and $3$ .

${(\frac{5}{11})}^{3}$

Step 2

Apply the product rule to $\frac{5}{11}$ .

$\frac{5^{3}}{11^{3}}$

Step 3

Raise $5$ to the power of $3$ .

$\frac{125}{11^{3}}$

Step 4

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

$\frac{125}{1331}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{125}{1331}$

Decimal Form:

$0.09391435 \dots$