Question

Use a is calculator to evaluate the expression. Round the result to two decimal places when appropriate. $$\left(-6 \cdot 3^{4}\right)^{3}$$

Short answer

The result of the given expression is -114815364.

Step-by-step solution

Calculating the Expression Inside the Parenthesis

Solve \(3^{4}\), which gives 81, and then multiply the result by -6 to get \(-6 \cdot 81 = -486\).

Raise Result to the Third Power

Now, raise the result from the first step (-486) to the power of 3: \((-486)^{3} = -114815364.\)

Rounding (if necessary)

The result from step 2 is -114815364. Since there are no decimal points, rounding is not necessary in this case. Nevertheless, if the result had decimal points, the number would have to be rounded to two decimal places.