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.
