Basic Math Examples

$\frac{\frac{4}{3} \cdot (p {(3)}^{3})}{\frac{4}{3} \cdot (p {(9)}^{3})}$

Step 1

Cancel the common factor of $\frac{4}{3}$ .

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Step 1.1

Cancel the common factor.

$\frac{\frac{4}{3} \cdot (p {(3)}^{3})}{\frac{4}{3} \cdot (p {(9)}^{3})}$

Step 1.2

Rewrite the expression.

$\frac{p {(3)}^{3}}{p {(9)}^{3}}$

Step 2

Cancel the common factor of $p$ .

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Step 2.1

Cancel the common factor.

$\frac{p {(3)}^{3}}{p {(9)}^{3}}$

Step 2.2

Rewrite the expression.

$\frac{{(3)}^{3}}{{(9)}^{3}}$

Step 3

Evaluate the exponents.

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Step 3.1

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

$\frac{27}{9^{3}}$

Step 3.2

Raise $9$ to the power of $3$ .

$\frac{27}{729}$

Step 4

Cancel the common factor of $27$ and $729$ .

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Step 4.1

Factor $27$ out of $27$ .

$\frac{27 (1)}{729}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $27$ out of $729$ .

$\frac{27 \cdot 1}{27 \cdot 27}$

Step 4.2.2

Cancel the common factor.

$\frac{27 \cdot 1}{27 \cdot 27}$

Step 4.2.3

Rewrite the expression.

$\frac{1}{27}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{27}$

Decimal Form:

$0.\overline{037}$