Answer:
k=2
Step-by-step explanation:
7[k+8]=70
First distribute the 7 into the k+8
7k+56=70
Then subtract the 56 on both sides since we want to isolate the variable
7k=14
Lastly divide each side by 7 to get the variable by itself and its value
k=2
We can check this by plugging 2 into the equation. We substitute for 2 in place of k.
7[2+8]=70
First do inside the brackets
7[10]=70
Next multiply
70=70
The equation is true so we know for sure that 2=k
Answer:
the explanation that connects the point to the examples provided
Step-by-step explanation:
i just took the quiz
First step is to simplify the inside of the radical. There are x's on both top and bottom of the fraction. So we subtract their exponents. x³ - x¹ = x². Because the x³ was in the denominator and it was bigger, the x² goes on the bottom.
Your new equation is:

Now, I'd suggest factoring each term to correspond with the square root.
126y⁵ = 9 · 14 · y² · y² · y
32x² = 4 · 4 · 2 · x²
9, y², and y² can be square rooted in the numerator. 4, 4, and x² in the denominator. So we pull out their square roots and place them outside of the radical. The rest stays in the radical:

Simplify to get your final answer:

It's easier to explain on paper and in person than over computer text, sadly. Hopefully you can follow along with this.