How to solve ((2m)/(3n)) ^ 4

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve ((2m)/(3n)) ^ 4 | Equatix

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Question

$$(\frac{2m}{3n})^{4}$$

Evaluate

$\frac{16\times \left(\frac{m}{n}\right)^{4}}{81}$

Solution Steps

To raise $\frac{2m}{3n}$ to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(2m\right)^{4}}{\left(3n\right)^{4}}$$

Expand $\left(2m\right)^{4}$.

$$\frac{2^{4}m^{4}}{\left(3n\right)^{4}}$$

Calculate $2$ to the power of $4$ and get $16$.

$$\frac{16m^{4}}{\left(3n\right)^{4}}$$

Expand $\left(3n\right)^{4}$.

$$\frac{16m^{4}}{3^{4}n^{4}}$$

Calculate $3$ to the power of $4$ and get $81$.

$$\frac{16m^{4}}{81n^{4}}$$

Show Solution

Expand

$\frac{16\times \left(\frac{m}{n}\right)^{4}}{81}$

Solution Steps

To raise $\frac{2m}{3n}$ to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(2m\right)^{4}}{\left(3n\right)^{4}}$$

Expand $\left(2m\right)^{4}$.

$$\frac{2^{4}m^{4}}{\left(3n\right)^{4}}$$

Calculate $2$ to the power of $4$ and get $16$.

$$\frac{16m^{4}}{\left(3n\right)^{4}}$$

Expand $\left(3n\right)^{4}$.

$$\frac{16m^{4}}{3^{4}n^{4}}$$

Calculate $3$ to the power of $4$ and get $81$.

$$\frac{16m^{4}}{81n^{4}}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

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