Problem 3 Write in exponential form. a) ... [FREE SOLUTION]

Chapter 1: Problem 3

Write in exponential form. a) \(9 \cdot 9 \cdot 9 \cdot 9\) b) \(2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2\) c) \(\frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4}\)

Short Answer

Expert verified

a) \(9^4\) b) \(2^8\) c) \(\left(\frac{1}{4}\right)^3\)

Step by step solution

a) Writing \(9 \cdot 9 \cdot 9 \cdot 9\) in exponential form:

Observe that there are four 9's all multiplied together. The base here is 9 and the exponent is 4. So we can express this as \(9^4\).

b) Writing \(2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2\) in exponential form:

There are eight 2's all multiplied together. The base, in this case, is 2 and the exponent is 8. So we can express this as \(2^8\).

c) Writing \(\frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4}\) in exponential form:

In this case, we have three fractions multiplied together. The base of these fractions is \(\frac{1}{4}\) which occurs three times. So we can express this as \(\left(\frac{1}{4}\right)^3\).

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91影视

Write in exponential form. a) \(9 \cdot 9 \cdot 9 \cdot 9\) b) \(2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2\) c) \(\frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4}\)

Short Answer

Step by step solution

a) Writing \(9 \cdot 9 \cdot 9 \cdot 9\) in exponential form:

b) Writing \(2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2\) in exponential form:

c) Writing \(\frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4}\) in exponential form:

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