Question

I can't quite write the problem, so I'll try to explain it as best I can. In exponents and in fractions...
(X/2) to the 3rd power times (X/2) to the 4th power...all over,or divided by, (X/2 to the 3rd power) to the 2nd power.
The book says the answer is X/2 to the 5th power. How is this answer found???? I keep getting X/2 to the 6th power ☹️

Answer 1

it's a lot easier without all those words:

(x/2)^3 * (x/2)^4
----------------------
((x/2)^3)^2

= (x/2)^7 / (x/2)^6
= x/2

Hmmm. Not what you want. I suspect a typo somewhere.

Answer 2

Since they are all the same, let x represent x/2. Online "^" is used to indicate an exponent, e.g., x^2 = x squared

(x^3 * x^4)/(x^3)^2

When multiplying/dividing, exponents are added/subtracted respectively.

(x^3 * x^4) = x^7

(x^3)^2 = x^6

Do you have typos?

Answer 3

Let me try writing it again...
(X/2)^3*(X/2)^4
---------------------
(X/2^3)^2

How do you get X/2^5????

Answer 4

I don't. I still get:

(x/2)^7/(x/2)^6 = x/2

If you do not have a typo, there might be a typo in the text answers. Ask your teacher.