Question

multiplying powers
score: 0/5 penalty: 0.25 off
question
fully simplify.
14xy^{4}(-14y)

Explanation:

Step1: Multiply the coefficients

Multiply 14 and -14.
$14\times(-14) = -196$

Step2: Multiply the variables with the same base (y)

Use the rule $a^m \times a^n = a^{m + n}$. For $y^4$ and $y$ (which is $y^1$), we have $y^4\times y^1 = y^{4 + 1}=y^5$. The variable x remains as is since there's no other x term to multiply with.

Step3: Combine the results

Multiply the coefficient result with the variable results. So we get $-196\times x\times y^5=-196xy^5$.

Answer:

$-196xy^5$