Solve left(5.4^3-2^5right)*1/3.2^5

$$\left( { 5.4 }^{ 3 } - { 2 }^{ 5 } \right) \times \frac{ 1 }{ { 3.2 }^{ 5 } }$$

Evaluate

$$0.37391185760498046875$$

Solution Steps

Calculate 5.4 to the power of 3 and get 157.464.

$$\left(157.464-2^{5}\right)\times \frac{1}{3.2^{5}}$$

Calculate 2 to the power of 5 and get 32.

$$\left(157.464-32\right)\times \frac{1}{3.2^{5}}$$

Subtract 32 from 157.464 to get 125.464.

$$125.464\times \frac{1}{3.2^{5}}$$

Calculate 3.2 to the power of 5 and get 335.54432.

$$125.464\times \frac{1}{335.54432}$$

Expand \frac{1}{335.54432} by multiplying both numerator and the denominator by 100000.

$$125.464\times \frac{100000}{33554432}$$

Reduce the fraction \frac{100000}{33554432} to lowest terms by extracting and canceling out 32.

$$125.464\times \frac{3125}{1048576}$$

Convert decimal number 125.464 to fraction \frac{125464}{1000}. Reduce the fraction \frac{125464}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{15683}{125}\times \frac{3125}{1048576}$$

Multiply \frac{15683}{125} times \frac{3125}{1048576} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15683\times 3125}{125\times 1048576}$$

Do the multiplications in the fraction \frac{15683\times 3125}{125\times 1048576}.

$$\frac{49009375}{131072000}$$

Reduce the fraction \frac{49009375}{131072000} to lowest terms by extracting and canceling out 125.

$$\frac{392075}{1048576}$$

Factor

$$\frac{15683 \cdot 5 ^ {2}}{2 ^ {20}} = 0.37391185760498047$$