Solve 5(9^2)(4*8^2)*2/9

$$5( { 9 }^{ 2 } )(4 \times { 8 }^{ 2 } ) \times \frac{ 2 }{ 9 }$$

Evaluate

$$23040$$

Solution Steps

Calculate 9 to the power of 2 and get 81.

$$5\times 81\times 4\times 8^{2}\times \frac{2}{9}$$

Multiply 5 and 81 to get 405.

$$405\times 4\times 8^{2}\times \frac{2}{9}$$

Multiply 405 and 4 to get 1620.

$$1620\times 8^{2}\times \frac{2}{9}$$

Calculate 8 to the power of 2 and get 64.

$$1620\times 64\times \frac{2}{9}$$

Multiply 1620 and 64 to get 103680.

$$103680\times \frac{2}{9}$$

Express 103680\times \frac{2}{9} as a single fraction.

$$\frac{103680\times 2}{9}$$

Multiply 103680 and 2 to get 207360.

$$\frac{207360}{9}$$

Divide 207360 by 9 to get 23040.

$$23040$$

Factor

$$2^{9}\times 3^{2}\times 5$$