Question

simplify the expression below. \\((-14x^{-5}y^{-6})(2xy)\\)

Explanation:

Step1: Multiply the coefficients

Multiply -14 and 2: $-14\times2 = -28$

Step2: Multiply the x terms

Use the rule $a^m\times a^n = a^{m + n}$. For $x^{-5}$ and $x^1$: $x^{-5}\times x^1 = x^{-5 + 1}=x^{-4}=\frac{1}{x^4}$

Step3: Multiply the y terms

Use the same rule for $y^{-6}$ and $y^1$: $y^{-6}\times y^1 = y^{-6 + 1}=y^{-5}=\frac{1}{y^5}$

Step4: Combine all parts

Multiply the results from Step1, Step2, and Step3: $-28\times\frac{1}{x^4}\times\frac{1}{y^5}=-\frac{28}{x^4y^5}$

Answer:

$-\dfrac{28}{x^{4}y^{5}}$