Question

question
fully simplify.
10xy^{4}(-14xy)

Explanation:

Step1: Multiply the coefficients

Multiply 10 and -14.
$10\times(-14) = -140$

Step2: Multiply the x terms

Using the rule $a^m\times a^n = a^{m + n}$, for $x\times x$, we have $x^{1+1}=x^2$.

Step3: Multiply the y terms

For $y^4\times y$, using the same exponent rule, we get $y^{4 + 1}=y^5$.

Step4: Combine the results

Multiply the coefficient, x term, and y term together.
$-140\times x^2\times y^5=-140x^2y^5$

Answer:

$-140x^2y^5$