Question

Apply the rules of exponents to simplify the expression g x/2* g x/3 . Leave answer in exponential form and use parenthesis around your exponent.

Answer 1

g?

Answer 2

When multiplying terms that have the same base, you can get the answer by simply adding the powers. So g^(x/2)*g^(x/3). Both have the same base of g, so that means I can add the exponents. So adding (x/2) and (x/3) would mean finding a common denominator. In this case, the common denominator would be 6. So changing both fractions to have a denominator of 6, you have (3x/6) and (2x/6). Adding these two, you would then have 5x/6. This is the exponent in your answer, meaning the answer is g^(5x/6)

Answer 3

what about g

Answer 4

What is g? Can you format your text properly

Answer 5

This is how its written.

Answer 6

& thanks ! @Psymon

Answer 7

Without any additional information, you just assume that g is g. You cannot do anything more with the problem other than leave it in terms of g. And np ^_^

Answer 8

I wasn't asking for the value of g, I was asking what the question even was the text isn't formatted well enough to make out its even about exponents, g x/2 doesn't clearly represent $$g^{\frac{x}{2}}$$

Answer 9

thats exactly how its written ^^