SOLUTION: solve this equation 2x^-1/2=8. is th answer +-2 . thanks

Question 285143: solve this equation 2x^-1/2=8. is th answer +-2 . thanks
Answer by jsmallt9(3759) (Show Source): You can put this solution on YOUR website!

We start by isolating the base and its exponent. So we'll get rid of the 2 by dividing both sides by 2:

From here there are several ways to go. Probably the fastest is base on the idea that we want x to have an exponent of 1. So how can we change an exponent from -1/2 to 1? One way would be to raise both sides of the equation to the -2 power. (You'll see why this works as we do it.)

On the left side the rule for the exponents is to multiply them. And what do you get when you multiply -1/2 and -2? Answer: 1! You always get a 1 when you multiply reciprocals! So now we have:

Now we just have to simplify the right side:

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