Basic Math Examples

$\frac{5}{6} \cdot {(\frac{3}{7})}^{3}$

Step 1

Apply the product rule to $\frac{3}{7}$ .

$\frac{5}{6} \cdot \frac{3^{3}}{7^{3}}$

Step 2

Combine.

$\frac{5 \cdot 3^{3}}{6 \cdot 7^{3}}$

Step 3

Simplify the expression.

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Step 3.1

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

$\frac{5 \cdot 27}{6 \cdot 7^{3}}$

Step 3.2

Raise $7$ to the power of $3$ .

$\frac{5 \cdot 27}{6 \cdot 343}$

Step 3.3

Multiply $5$ by $27$ .

$\frac{135}{6 \cdot 343}$

Step 3.4

Multiply $6$ by $343$ .

$\frac{135}{2058}$

$\frac{135}{2058}$

Step 4

Cancel the common factor of $135$ and $2058$ .

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Step 4.1

Factor $3$ out of $135$ .

$\frac{3 (45)}{2058}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $2058$ .

$\frac{3 \cdot 45}{3 \cdot 686}$

Step 4.2.2

Cancel the common factor.

$\frac{3 \cdot 45}{3 \cdot 686}$

Step 4.2.3

Rewrite the expression.

$\frac{45}{686}$

$\frac{45}{686}$

$\frac{45}{686}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{45}{686}$

Decimal Form:

$0.06559766 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$