Solve left(54^3-2^5right)*1/32^5

$$\left( { 54 }^{ 3 } - { 2 }^{ 5 } \right) \times \frac{ 1 }{ { 32 }^{ 5 } }$$

Evaluate

$$\frac{19679}{4194304}\approx 0.004691839$$

Solution Steps

Calculate 54 to the power of 3 and get 157464.

$$\left(157464-2^{5}\right)\times \frac{1}{32^{5}}$$

Calculate 2 to the power of 5 and get 32.

$$\left(157464-32\right)\times \frac{1}{32^{5}}$$

Subtract 32 from 157464 to get 157432.

$$157432\times \frac{1}{32^{5}}$$

Calculate 32 to the power of 5 and get 33554432.

$$157432\times \frac{1}{33554432}$$

Multiply 157432 and \frac{1}{33554432} to get \frac{157432}{33554432}.

$$\frac{157432}{33554432}$$

Reduce the fraction \frac{157432}{33554432} to lowest terms by extracting and canceling out 8.

$$\frac{19679}{4194304}$$

Factor

$$\frac{11 \cdot 1789}{2 ^ {22}} = 0.0046918392181396484$$