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Chapter 1: Problem 2

Identify the base and the exponent. a) \(5^{1}\) b) \(1^{8}\) c) \(\left(\frac{3}{7}\right)^{2}\)

Short Answer

Expert verified
For the given expressions: a) In \(5^{1}\), the base is 5 and the exponent is 1. b) In \(1^{8}\), the base is 1 and the exponent is 8. c) In \(\left(\frac{3}{7}\right)^{2}\), the base is \(\frac{3}{7}\) and the exponent is 2.

Step by step solution

01

Identify the base and exponent of \(5^{1}\)

In the expression \(5^{1}\), the base is the number 5, and the exponent is the number 1. Therefore, the base is 5, and the exponent is 1.
02

Identify the base and exponent of \(1^{8}\)

In the expression \(1^{8}\), the base is the number 1, and the exponent is the number 8. Therefore, the base is 1, and the exponent is 8.
03

Identify the base and exponent of \(\left(\frac{3}{7}\right)^{2}\)

In the expression \(\left(\frac{3}{7}\right)^{2}\), the base is the fraction \(\frac{3}{7}\), and the exponent is the number 2. Therefore, the base is \(\frac{3}{7}\), and the exponent is 2.

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