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Chapter 1: Problem 1

Identify the base and the exponent. a) \(6^{4}\) b) \(2^{3}\) c) \(\left(\frac{9}{8}\right)^{5}\)

Short Answer

Expert verified
a) Base: 6, Exponent: 4 b) Base: 2, Exponent: 3 c) Base: \(\frac{9}{8}\), Exponent: 5

Step by step solution

01

a) Identifying base and exponent for \(6^{4}\)

For the expression \(6^{4}\), the base is the number being raised to a power, which is 6. The exponent is the power to which the base is being raised, which is 4. So, the base is 6 and the exponent is 4.
02

b) Identifying base and exponent for \(2^{3}\)

For the expression \(2^{3}\), the base is the number being raised to a power, which is 2. The exponent is the power to which the base is being raised, which is 3. So, the base is 2 and the exponent is 3.
03

c) Identifying base and exponent for \(\left(\frac{9}{8}\right)^{5}\)

For the expression \(\left(\frac{9}{8}\right)^{5}\), the base is the number (or fraction in this case) being raised to a power, which is \(\frac{9}{8}\). The exponent is the power to which the base is being raised, which is 5. So, the base is \(\frac{9}{8}\) and the exponent is 5.

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Most popular questions from this chapter

Objectives 3 and 4 A welder must construct a beam with a total length of \(32 \frac{7}{8}\) in. If he has already joined a \(14 \frac{1}{6}\) -in. beam with a \(10 \frac{3}{4}-i n .\) beam, find the length of a third beam needed to reach the total length.

Write a mathematical expression for each and simplify. The quotient of \(-100\) and 4 decreased by the sum of \(-7\) and 2

Rewrite each expression using the distributive property. Simplify if possible. $$9(g+6)$$

Write a mathematical expression for each and simplify. 18 less than the sum of \(-5\) and 11.

Rewrite each expression using the distributive property. Simplify if possible. $$6(n-8)$$
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