Solve 7*2(3^2)3/2{frac{7815/5}}

$$7 \times 2( { 3 }^{ 2 } ) \frac{ 3 }{ \frac{ 2 }{ \frac{ 7815 }{ 5 } } }$$

Evaluate

$$295407$$

Solution Steps

Multiply 7 and 2 to get 14.

$$14\times 3^{2}\times \frac{3}{\frac{2}{\frac{7815}{5}}}$$

Calculate 3 to the power of 2 and get 9.

$$14\times 9\times \frac{3}{\frac{2}{\frac{7815}{5}}}$$

Multiply 14 and 9 to get 126.

$$126\times \frac{3}{\frac{2}{\frac{7815}{5}}}$$

Divide 3 by \frac{2}{\frac{7815}{5}} by multiplying 3 by the reciprocal of \frac{2}{\frac{7815}{5}}.

$$126\times \frac{3\times \frac{7815}{5}}{2}$$

Divide 7815 by 5 to get 1563.

$$126\times \frac{3\times 1563}{2}$$

Multiply 3 and 1563 to get 4689.

$$126\times \frac{4689}{2}$$

Express 126\times \frac{4689}{2} as a single fraction.

$$\frac{126\times 4689}{2}$$

Multiply 126 and 4689 to get 590814.

$$\frac{590814}{2}$$

Divide 590814 by 2 to get 295407.

$$295407$$

Factor

$$3^{4}\times 7\times 521$$