Question

Which expression is equivalent to ? Assume.

Answer 1

5x8y18 the lasttt oneee

Answer 2

Answer:

2. $-2x^{8}y^{18}$  

Step-by-step explanation:  

We have been given an expression $\frac{10x^{6}y^{12}}{-5x^{-2}y^{-6}}$ and we are asked to find equivalent expression to our given expression.

Using fraction rule $\frac{a}{-b} =-\frac{a}{b}$ we can write our expression as: $-\frac{10x^{6}y^{12}}{5x^{-2}y^{-6}}$. 

Upon dividing 10 by 5 we will get,

$-\frac{2x^{6}y^{12}}{x^{-2}y^{-6}}$      

Upon using exponent property for quotient $(\frac{a^{m}}{a^{n}} =a^{(m-n)})$ we will get,  

$-\frac{2x^{6}y^{12}}{x^{-2}y^{-6}}=-2x^{(6--2)}y^{(12--6)}$    

$-2x^{(6+2)}y^{(12+6)}$

$-2x^{8}y^{18}$        

Therefore, our expression simplifies as $-2x^{8}y^{18}$ and 2nd option is the correct choice.