Solve 1/5-1/3^24^3

$$\frac{ 1 }{ 5 } - \frac{ 1 }{ { 3 }^{ 2 } } { 4 }^{ 3 }$$

Evaluate

$$-\frac{311}{45}\approx -6.911111111$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{1}{5}-\frac{1}{9}\times 4^{3}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{1}{5}-\frac{1}{9}\times 64$$

Multiply \frac{1}{9} and 64 to get \frac{64}{9}.

$$\frac{1}{5}-\frac{64}{9}$$

Least common multiple of 5 and 9 is 45. Convert \frac{1}{5} and \frac{64}{9} to fractions with denominator 45.

$$\frac{9}{45}-\frac{320}{45}$$

Since \frac{9}{45} and \frac{320}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-320}{45}$$

Subtract 320 from 9 to get -311.

$$-\frac{311}{45}$$

Factor

$$-\frac{311}{45} = -6\frac{41}{45} = -6.911111111111111$$