Question
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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: \[ -36 x^{18} \]

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