Basic Math Examples

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

Step 1

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

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

Step 1.2

Add $3$ and $5$ .

${(\frac{5}{3})}^{8}$

Step 2

Apply the product rule to $\frac{5}{3}$ .

$\frac{5^{8}}{3^{8}}$

Step 3

Raise $5$ to the power of $8$ .

$\frac{390625}{3^{8}}$

Step 4

Raise $3$ to the power of $8$ .

$\frac{390625}{6561}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{390625}{6561}$

Decimal Form:

$59.53741807 \dots$

Mixed Number Form:

$59 \frac{3526}{6561}$