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Chapter 0: Problem 11

Evaluate each exponential expression. $$4^{-3}$$

Short Answer

Expert verified
The result of evaluating the expression \(4^{-3}\) is \(1/64\).

Step by step solution

01

Understand the exponent rule

Review the rule for negative exponents. A number with a negative exponent should be inverted (i.e., create a fraction with 1 as the numerator and the base of the power as the denominator) to make the exponent positive.
02

Apply the negative exponent rule

Apply the exponent rule to \(4^{-3}\). The base is 4 and the exponent is -3. Thus, we need to rewrite this expression as \(1/{4^{3}}\)
03

Simplify the expression

Now we have \(1/{4^{3}}\), which simplifies to 1/64.

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Most popular questions from this chapter

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$8^{-\frac{1}{3}}=-2$$

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Rewrite each expression without absolute value bars. $$|-203|$$
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