Question
Select the simplified form of this expression \[ \left(-5 z^{4}\right)\left(-2 z^{7}\right) \]
Ask by Moreno Phillips. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified form is \( 10z^{11} \).
Solution
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The Deep Dive
To simplify the expression \(\left(-5 z^{4}\right)\left(-2 z^{7}\right)\), first, multiply the coefficients: \(-5\) and \(-2\) multiply to \(10\) since a negative times a negative is positive. Next, for the \(z\) terms, apply the rule of exponents: \(z^{4} \cdot z^{7} = z^{4+7} = z^{11}\). Therefore, the simplified form of the expression is \[ 10 z^{11} \]
