1) combine like terms (k)
0 = 7k
k = 0/7 = 0
zero divided by any numbers will be zero

2) combine the like terms (the constant of -4 + 1)
9 = 6x - 3
add 3 to both sides
12 = 6x
x=2

3) -3+3=0
-4=v

4) 4+3=7
8=k+7
k=1

5)x-5x = -4x
16= -4x
x = -4

8 0

3 years ago

Which expression is equivalent to ? Assume.

nikdorinn [45]

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.

6 0

4 years ago

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