Solve 2^3*6^2*9^2/27*64

$$\frac{ { 2 }^{ 3 } \times { 6 }^{ 2 } \times { 9 }^{ 2 } }{ 27 \times 64 }$$

Evaluate

$$\frac{27}{2}=13.5$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\frac{8\times 6^{2}\times 9^{2}}{27\times 64}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{8\times 36\times 9^{2}}{27\times 64}$$

Multiply 8 and 36 to get 288.

$$\frac{288\times 9^{2}}{27\times 64}$$

Calculate 9 to the power of 2 and get 81.

$$\frac{288\times 81}{27\times 64}$$

Multiply 288 and 81 to get 23328.

$$\frac{23328}{27\times 64}$$

Multiply 27 and 64 to get 1728.

$$\frac{23328}{1728}$$

Reduce the fraction \frac{23328}{1728} to lowest terms by extracting and canceling out 864.

$$\frac{27}{2}$$

Factor

$$\frac{3 ^ {3}}{2} = 13\frac{1}{2} = 13.5$$