Solve b ) (- 2/7) ^ 2 = 16/2401 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$( \frac { - 2 } { 7 } ) ^ { 2 } = \frac { 16 } { 2401 }$$

Verify

$\text{false}$

Solution Steps

Fraction $\frac{-2}{7}$ can be rewritten as $-\frac{2}{7}$ by extracting the negative sign.

$$\left(-\frac{2}{7}\right)^{2}=\frac{16}{2401}$$

Calculate $-\frac{2}{7}$ to the power of $2$ and get $\frac{4}{49}$.

$$\frac{4}{49}=\frac{16}{2401}$$

Least common multiple of $49$ and $2401$ is $2401$. Convert $\frac{4}{49}$ and $\frac{16}{2401}$ to fractions with denominator $2401$.

$$\frac{196}{2401}=\frac{16}{2401}$$

Compare $\frac{196}{2401}$ and $\frac{16}{2401}$.

$$\text{false}$$