Question
Multiply. \[ \left(-9 x^{9}\right)\left(4 x^{9}\right) \]
Ask by Hampton Mccarthy. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The product is \(-36x^{18}\).
Solution
Calculate or simplify the expression \( (-9x^9)*(4x^9) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(-9x^{9}\right)\times 4x^{9}\)
- step1: Remove the parentheses:
\(-9x^{9}\times 4x^{9}\)
- step2: Multiply the numbers:
\(-36x^{9}\times x^{9}\)
- step3: Multiply the terms:
\(-36x^{18}\)
The product of \((-9x^{9})\) and \((4x^{9})\) is \(-36x^{18}\).
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The Deep Dive
To multiply the given expressions, start by multiplying the coefficients and then the variables. Here, the coefficients are -9 and 4, and when multiplied together, they give you -36. For the variable part, \( x^9 \) multiplied by \( x^9 \) will add the exponents (according to the law of exponents), resulting in \( x^{18} \). Putting it all together, the product is: \[ -36 x^{18} \]