Question

multiplying powers
score: 3/5 penalty: none
question
fully simplify.
$-15y^{3}(5x^{2}y)$
answer attempt 1 out of 5
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Explanation:

Step1: Multiply coefficients

Multiply -15 and 5: $-15\times5 = -75$

Step2: Multiply $x$ terms

There's only $x^2$, so keep it as $x^2$.

Step3: Multiply $y$ terms

Use exponent rule $a^m\times a^n = a^{m + n}$. For $y^3\times y$, we have $y^{3 + 1}=y^4$.

Step4: Combine all parts

Multiply the coefficient, $x$ term, and $y$ term: $-75\times x^2\times y^4=-75x^2y^4$

Answer:

$-75x^{2}y^{4}$