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What are the exponent and coefficient of the expression [tex]$4 b^{-3}$[/tex]?

A. The exponent is 4 and the coefficient is -3.
B. The exponent is -3 and the coefficient is 4.
C. The exponent is 3 and the coefficient is -4.
D. The exponent is -3 and the coefficient is -4.

Sagot :

GinnyAnsweridn
To identify the exponent and coefficient of the expression [tex]\(4 b^{-3}\)[/tex], it's important to recognize the components of the expression:

1. Coefficient: This is the numerical factor that multiplies the variable part of the expression. In [tex]\(4 b^{-3}\)[/tex], the coefficient is the number that is multiplying the [tex]\(b^{-3}\)[/tex] part.

2. Exponent: This is the power to which the variable [tex]\(b\)[/tex] is raised. In [tex]\(4 b^{-3}\)[/tex], the exponent is the value that is applied to the base [tex]\(b\)[/tex].

Now let's break down the given expression [tex]\(4 b^{-3}\)[/tex]:

- The coefficient is the number [tex]\(4\)[/tex] that is multiplying the entire term [tex]\(b^{-3}\)[/tex].
- The exponent is the value [tex]\(-3\)[/tex] that indicates the power to which the base [tex]\(b\)[/tex] is raised.

Therefore, the exponent is [tex]\(-3\)[/tex] and the coefficient is [tex]\(4\)[/tex].

So, the correct answer is:
The exponent is -3 and the coefficient is 4.
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