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Chapter 5: Problem 63

Evaluate each exponential expression. \(-3^{4}\)

Short Answer

Expert verified
The result of \(-3^{4}\) is 81.

Step by step solution

01

Understand the Exponent

The expression \(-3^{4}\) is read as 'negative three to the power of four.' This indicates that -3 is to be multiplied by itself four times.
02

Perform the Multiplication

Multiplying -3 by itself four times yields the following: \(-3 \times -3 \times -3 \times -3\). As multiplication of two negative numbers results in a positive number, and multiplication of two positive numbers also results in a positive number, the outcome will be positive.
03

Calculate the Result

After performing all the multiplications, we obtain: \(81\). So, \(-3^{4} = 81\).

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Most popular questions from this chapter

Find the indicated term for the geometric sequence with first term, \(a_{1}\), and common ratio, \(r\). Find \(a_{8}\), when \(a_{1}=40,000, r=0.1\).

Write the first six terms of the geometric sequence with the first term, \(a_{1}\), and common ratio, \(r\). \(a_{1}=-1000, r=0.1\)

Write the first six terms of the geometric sequence with the first term, \(a_{1}\), and common ratio, \(r\). \(a_{1}=\frac{1}{2}, r=2\)

Find the indicated term for the geometric sequence with first term, \(a_{1}\), and common ratio, \(r\). Find \(a_{4}\), when \(a_{1}=9, r=-\frac{1}{3}\).

What is a sequence? Give an example with your description.
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