Pre-Algebra Examples

$\frac{5 y}{\frac{16 x^{2}}{15 y^{2}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$5 y \frac{15 y^{2}}{16 x^{2}}$

Step 2

Multiply $5 y \frac{15 y^{2}}{16 x^{2}}$ .

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Step 2.1

Combine $5$ and $\frac{15 y^{2}}{16 x^{2}}$ .

$y \frac{5 (15 y^{2})}{16 x^{2}}$

Step 2.2

Multiply $15$ by $5$ .

$y \frac{75 y^{2}}{16 x^{2}}$

Step 2.3

Combine $y$ and $\frac{75 y^{2}}{16 x^{2}}$ .

$\frac{y (75 y^{2})}{16 x^{2}}$

Step 2.4

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

$\frac{75 (y^{1} y^{2})}{16 x^{2}}$

Step 2.5

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

$\frac{75 y^{1 + 2}}{16 x^{2}}$

Step 2.6

Add $1$ and $2$ .

$\frac{75 y^{3}}{16 x^{2}}$