Solve g(7/5-8/3+1/10)^-2

$$g ( \frac { 7 } { 5 } - \frac { 8 } { 3 } + \frac { 1 } { 10 } ) ^ { - 2 }$$

Evaluate

$$\frac{36g}{49}$$

Solution Steps

Subtract \frac{8}{3} from \frac{7}{5} to get -\frac{19}{15}.

$$g\left(-\frac{19}{15}+\frac{1}{10}\right)^{-2}$$

Add -\frac{19}{15} and \frac{1}{10} to get -\frac{7}{6}.

$$g\left(-\frac{7}{6}\right)^{-2}$$

Calculate -\frac{7}{6} to the power of -2 and get \frac{36}{49}.

$$g\times \frac{36}{49}$$

Expand

$$\frac{36g}{49}$$

Solution Steps

Subtract \frac{8}{3} from \frac{7}{5} to get -\frac{19}{15}.

$$g\left(-\frac{19}{15}+\frac{1}{10}\right)^{-2}$$

Add -\frac{19}{15} and \frac{1}{10} to get -\frac{7}{6}.

$$g\left(-\frac{7}{6}\right)^{-2}$$

Calculate -\frac{7}{6} to the power of -2 and get \frac{36}{49}.

$$g\times \frac{36}{49}$$