Solve (3sqrt{3)left(3^2right)^2}

$$(3 \sqrt{ 3) { \left( { 3 }^{ 2 } \right) }^{ 2 } }$$

Evaluate

$$243\sqrt{3}\approx 420.888346239$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$3\sqrt{3}\times 3^{4}$$

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$3^{5}\sqrt{3}$$

Calculate 3 to the power of 5 and get 243.

$$243\sqrt{3}$$