Textbook Question
Multiply or divide as indicated. 55.76 * 72
0. Review of Algebra
Exponents
Multiple Choice
Simplify the expression using exponent rules.
A
B
C
D
Verified step by step guidance1
Start by simplifying the fraction \( \frac{-12b^{11}}{4b^7} \). Divide the coefficients: \( \frac{-12}{4} = -3 \).
Apply the quotient rule for exponents: \( \frac{b^{11}}{b^7} = b^{11-7} = b^4 \).
Combine the results from the previous steps: \( -3b^4 \).
Next, consider the expression \( -3b^{18} \). This is already simplified, so we move to the next term.
For \( -3b^{-18} \), recognize that a negative exponent indicates a reciprocal: \( b^{-18} = \frac{1}{b^{18}} \). Therefore, \( -3b^{-18} = -\frac{3}{b^{18}} \).
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