Question

m5 homework
score: 51/64 51/64 answered
question 52
simplify. enter your answer with positive exponents only.
\\(\frac{(48p^3k^7)(22p^4k^6)}{66pk}\\) =
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Explanation:

Step1: Multiply numerator coefficients/variables

Multiply constants: $48 \times 22 = 1056$
Combine $p$-terms: $p^3 \times p^4 = p^{3+4}=p^7$
Combine $k$-terms: $k^7 \times k^6 = k^{7+6}=k^{13}$
New numerator: $1056p^7k^{13}$

Step2: Simplify fraction with denominator

Divide constants: $\frac{1056}{66} = 16$
Simplify $p$-terms: $\frac{p^7}{p^1}=p^{7-1}=p^6$
Simplify $k$-terms: $\frac{k^{13}}{k^1}=k^{13-1}=k^{12}$

Answer:

$16p^6k^{12}$