Solve frac{sqrt{3^4*9^3}}{27div3^-2}

$$\frac { \sqrt { 3 ^ { 4 } \times 9 ^ { 3 } } } { 27 \div 3 ^ { - 2 } }$$

Evaluate

$$1$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$\frac{\sqrt{81\times 9^{3}}}{\frac{27}{3^{-2}}}$$

Calculate 9 to the power of 3 and get 729.

$$\frac{\sqrt{81\times 729}}{\frac{27}{3^{-2}}}$$

Multiply 81 and 729 to get 59049.

$$\frac{\sqrt{59049}}{\frac{27}{3^{-2}}}$$

Calculate the square root of 59049 and get 243.

$$\frac{243}{\frac{27}{3^{-2}}}$$

Calculate 3 to the power of -2 and get \frac{1}{9}.

$$\frac{243}{\frac{27}{\frac{1}{9}}}$$

Divide 27 by \frac{1}{9} by multiplying 27 by the reciprocal of \frac{1}{9}.

$$\frac{243}{27\times 9}$$

Multiply 27 and 9 to get 243.

$$\frac{243}{243}$$

Divide 243 by 243 to get 1.

$$1$$

Factor

$$1$$