Question

Simplify the expression. Then use a calculator to evaluate the expression. Round the result to the nearest tenth when appropriate. $$ \left(3.7^{3}\right)^{5} $$

Short answer

To obtain the final answer, calculate the numerical value of \(3.7^{15}\) and round to the nearest tenth. The exact answer depends on the calculator used, but the process to reach it has been outlined.

Step-by-step solution

Simplify the Expression Using Power of a Power Rule

The expression can be simplified as follows using the power of a power rule: \((3.7^3)^5 = 3.7^{3*5} = 3.7^{15}\).

Evaluate the Simplified Expression

Now, using a calculator, the value of \(3.7^{15}\) can be calculated.

Round the Result to the Nearest Tenth

The result from Step 2 will be a long decimal number. This number is rounded to the nearest tenth to obtain the final answer.