Mcguire Ward
01/22/2023 · High School
Simplify. \( \left(-2 x^{8}\right)\left(3 x^{7}\right) \)
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Tutor-Verified Answer
Step-by-step Solution
To simplify the expression \( \left(-2 x^{8}\right)\left(3 x^{7}\right) \), we can follow these steps:
1. Multiply the coefficients: \(-2\) and \(3\).
2. Multiply the powers of \(x\) using the property \(x^a \cdot x^b = x^{a+b}\).
Let's do the calculations:
1. Coefficients:
\[
-2 \cdot 3 = -6
\]
2. Powers of \(x\):
\[
x^{8} \cdot x^{7} = x^{8+7} = x^{15}
\]
Now, combine the results:
\[
\left(-2 x^{8}\right)\left(3 x^{7}\right) = -6 x^{15}
\]
Thus, the simplified expression is:
\[
\boxed{-6 x^{15}}
\]
Quick Answer
\(-6 x^{15}\)
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