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Chapter 0: Problem 15

Evaluate each exponential expression. $$ \left(2^{2}\right)^{3} $$

Short Answer

Expert verified
The value of the expression \( \left(2^{2}\right)^{3} \) is 64.

Step by step solution

01

Evaluate the inner exponent

Calculate the value of the expression inside the parentheses, \(2^{2}\), which means 2 multiplied by itself 2 times. This equals to 4.
02

Apply the outer exponent

Next, apply the outer exponent to the result from the previous step. This means taking the result, which is 4, and raising to the power of 3. In other words, it is 4 multiplied by itself 3 times, which equals to 64.

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Most popular questions from this chapter

If n is a natural number, what does \(b^{n}\) mean? Give an example with your explanation.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I simplified the terms of \(2 \sqrt{20}+4 \sqrt{75},\) and then I was able to add the like radicals.

If you are given two real numbers, explain how to determine which is the lesser.

Factor and simplify each algebraic expression. $$(x+5)^{-2}-(x+5)^{-2}$$

will help you prepare for the material covered in the first section of the next chapter. If \(y=4-x^{2},\) find the value of \(y\) that corresponds to values of \(x\) for each integer starting with \(-3\) and ending with 3 .
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