Solve V(y)=81-6/81(6)(frac{2268{81})^2}

$$V ( y ) = \frac { 81 - 6 } { 81 ( 6 ) ( \frac { 2268 } { 81 } ) ^ { 2 } }$$

Evaluate

$$\frac{25}{127008}\approx 0.000196838$$

Solution Steps

Subtract 6 from 81 to get 75.

$$\frac{75}{81\times 6\times \left(\frac{2268}{81}\right)^{2}}$$

Multiply 81 and 6 to get 486.

$$\frac{75}{486\times \left(\frac{2268}{81}\right)^{2}}$$

Divide 2268 by 81 to get 28.

$$\frac{75}{486\times 28^{2}}$$

Calculate 28 to the power of 2 and get 784.

$$\frac{75}{486\times 784}$$

Multiply 486 and 784 to get 381024.

$$\frac{75}{381024}$$

Reduce the fraction \frac{75}{381024} to lowest terms by extracting and canceling out 3.

$$\frac{25}{127008}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {5} \cdot 3 ^ {4} \cdot 7 ^ {2}} = 0.00019683799445704208$$