Solve (3)^2frac{1{2}div1/4}

$$( 3 ) ^ { 2 \frac { 1 } { 2 } \div \frac { 1 } { 4 } }$$

Evaluate

$$59049$$

Solution Steps

Divide \frac{2\times 2+1}{2} by \frac{1}{4} by multiplying \frac{2\times 2+1}{2} by the reciprocal of \frac{1}{4}.

$$3^{\frac{\left(2\times 2+1\right)\times 4}{2}}$$

Multiply 2 and 2 to get 4.

$$3^{\frac{\left(4+1\right)\times 4}{2}}$$

Add 4 and 1 to get 5.

$$3^{\frac{5\times 4}{2}}$$

Multiply 5 and 4 to get 20.

$$3^{\frac{20}{2}}$$

Divide 20 by 2 to get 10.

$$3^{10}$$

Calculate 3 to the power of 10 and get 59049.

$$59049$$

Factor

$$3^{10}$$