$-3 x^{9} y^8 \cdot 9 x^{8} y$
A) $-27 x^{17} y^{8}$
B) $6 x^{72} y^{8}$
C) $6 x^{17} y^{9}$
D) $-27 x^{17} y^{9}$

Name: $-3 x^{9} y^8 \cdot 9 x^{8} y$ A) $-27 x^{17} y^{8}$ B) $6 x^{72} y^{8}$ C) $6 x^{17} y^{9}$ D) $-27 x^{17} y^{9}$
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Question

Quizplus · Accepted Answer

When multiplying two algebraic expressions, you add the exponents of like bases and multiply the coefficients. Here, $-3 \times 9 = -27$, $x^{9} \times x^{8} = x^{17}$, and $y^{8} \times y = y^{9}$, resulting in $-27 x^{17} y^{9}$.

−3x9y8⋅9x8y-3 x^{9} y^8 \cdot 9 x^{8} y−3x9y8⋅9x8y A) −27x17y8-27 x^{17} y^{8}−27x17y8

$-3 x^{9} y^8 \cdot 9 x^{8} y$ A) $-27 x^{17} y^{8}$