Solve 100^frac{1{2}}-8^frac{2{3}}+9^frac{3{2}}a

$$100 ^ { \frac { 1 } { 2 } } - 8 ^ { \frac { 2 } { 3 } } + 9 ^ { \frac { 3 } { 2 } } a$$

Evaluate

$$27a+6$$

Solution Steps

Calculate 100 to the power of \frac{1}{2} and get 10.

$$10-8^{\frac{2}{3}}+9^{\frac{3}{2}}a$$

Calculate 8 to the power of \frac{2}{3} and get 4.

$$10-4+9^{\frac{3}{2}}a$$

Subtract 4 from 10 to get 6.

$$6+9^{\frac{3}{2}}a$$

Calculate 9 to the power of \frac{3}{2} and get 27.

$$6+27a$$

Factor

$$3\left(9a+2\right)$$

Solution Steps

Calculate 100 to the power of \frac{1}{2} and get 10.

$$factor(10-8^{\frac{2}{3}}+9^{\frac{3}{2}}a)$$

Calculate 8 to the power of \frac{2}{3} and get 4.

$$factor(10-4+9^{\frac{3}{2}}a)$$

Subtract 4 from 10 to get 6.

$$factor(6+9^{\frac{3}{2}}a)$$

Calculate 9 to the power of \frac{3}{2} and get 27.

$$factor(6+27a)$$

Factor out 3.

$$3\left(2+9a\right)$$