Question
18. \( \left(5 x^{5}\right)\left(3 y^{6}\right)\left(3 x^{2}\right) \)
Ask by Hampton Floyd. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 45x^7y^6 \)
Solution
1. Multiply the coefficients:
\[
5 \times 3 \times 3 = 45.
\]
2. Multiply the powers of \(x\):
\[
x^5 \times x^2 = x^{5+2} = x^7.
\]
3. The power of \(y\) remains unchanged:
\[
y^6.
\]
4. Combine all parts:
\[
45 x^7 y^6.
\]
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Simplify this solution Mind Expander
To simplify \( \left(5 x^{5}\right)\left(3 y^{6}\right)\left(3 x^{2}\right) \), start by multiplying the coefficients (the numbers in front). You have \( 5 \times 3 \times 3 = 45 \). Next, combine the like terms for \( x \). You have \( x^5 \) and \( x^2 \), so you add the exponents: \( 5 + 2 = 7 \). The \( y^{6} \) remains as is since there are no other \( y \) terms. Thus, the simplified expression is: \[ 45 x^{7} y^{6} \]
