Finite Math Examples

$\frac{6 y}{\frac{7 x^{2}}{\frac{9 y^{2}}{14 x^{4}}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$6 y \frac{\frac{9 y^{2}}{14 x^{4}}}{7 x^{2}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$6 y (\frac{9 y^{2}}{14 x^{4}} \cdot \frac{1}{7 x^{2}})$

Step 3

Combine.

$6 y \frac{9 y^{2} \cdot 1}{14 x^{4} (7 x^{2})}$

Step 4

Multiply $x^{4}$ by $x^{2}$ by adding the exponents.

Tap for more steps...

Step 4.1

Move $x^{2}$ .

$6 y \frac{9 y^{2} \cdot 1}{14 (x^{2} x^{4}) \cdot 7}$

Step 4.2

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

$6 y \frac{9 y^{2} \cdot 1}{14 x^{2 + 4} \cdot 7}$

Step 4.3

Add $2$ and $4$ .

$6 y \frac{9 y^{2} \cdot 1}{14 x^{6} \cdot 7}$

Step 5

Multiply.

Tap for more steps...

Step 5.1

Multiply $9 y^{2}$ by $1$ .

$6 y \frac{9 y^{2}}{14 x^{6} \cdot 7}$

Step 5.2

Multiply $7$ by $14$ .

$6 y \frac{9 y^{2}}{98 x^{6}}$

Step 6

Cancel the common factor of $2$ .

Tap for more steps...

Step 6.1

Factor $2$ out of $6 y$ .

$2 (3 y) \frac{9 y^{2}}{98 x^{6}}$

Step 6.2

Factor $2$ out of $98 x^{6}$ .

$2 (3 y) \frac{9 y^{2}}{2 (49 x^{6})}$

Step 6.3

Cancel the common factor.

$2 (3 y) \frac{9 y^{2}}{2 (49 x^{6})}$

Step 6.4

Rewrite the expression.

$3 y \frac{9 y^{2}}{49 x^{6}}$

Step 7

Combine $3$ and $\frac{9 y^{2}}{49 x^{6}}$ .

$y \frac{3 (9 y^{2})}{49 x^{6}}$

Step 8

Multiply $9$ by $3$ .

$y \frac{27 y^{2}}{49 x^{6}}$

Step 9

Combine $y$ and $\frac{27 y^{2}}{49 x^{6}}$ .

$\frac{y (27 y^{2})}{49 x^{6}}$

Step 10

Raise $y$ to the power of $1$ .

$\frac{27 (y^{1} y^{2})}{49 x^{6}}$

Step 11

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

$\frac{27 y^{1 + 2}}{49 x^{6}}$

Step 12

Add $1$ and $2$ .

$\frac{27 y^{3}}{49 x^{6}}$