Solve (361)^frac{1{2}}text{(ii)}(343)^frac{1{3}}(x-1)

$$( 361 ) ^ { \frac { 1 } { 2 } } \text { (ii) } ( 343 ) ^ { \frac { 1 } { 3 } } ( x - 1 )$$

Evaluate

$$133-133x$$

Solution Steps

Calculate 361 to the power of \frac{1}{2} and get 19.

$$19ii\times 343^{\frac{1}{3}}\left(x-1\right)$$

Multiply 19i and i to get -19.

$$-19\times 343^{\frac{1}{3}}\left(x-1\right)$$

Calculate 343 to the power of \frac{1}{3} and get 7.

$$-19\times 7\left(x-1\right)$$

Multiply -19 and 7 to get -133.

$$-133\left(x-1\right)$$

Use the distributive property to multiply -133 by x-1.

$$-133x+133$$

Factor

$$133\left(1-x\right)$$