Solve (3e^2)(5left(e^2right)^2

$$(3 { e }^{ 2 } )(5 { \left( { e }^{ 2 } \right) }^{ 2 }$$

Evaluate

$$15e^{6}\approx 6051.431902391$$

Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$3e^{6}\times 5$$

Multiply 3 and 5 to get 15.

$$15e^{6}$$