Question

Simplify the expression.

7x to the -3power times 6x to the 3power
(sorry dont know how to make it look like an actual problem)

Answer 1

7(x)^(-3) * 6(x)^3 I believe?

Answer 2

Yeah that makes more sense, thanks

Answer 3

Okay, you know how to solve x^3-y^3 type of equations?

Answer 4

yeah, I know that i would multiply 6 and7 which =42
but i dont know what to do with the -3 and 3

Answer 5

Take x to be cuberoot(7)*(x)^(-1) and y to be cuberoot(6)*x^1

Answer 6

would it end up being
\[\frac{ 42 }{ x^5 }\] ?

Answer 7

No. the xs get cancelled out.

Answer 8

The exponents have a property a^m . a^n = a^(m+n) okay?
Now, a here is x m is 3, n is -3

Answer 9

Clear, I believe?

Answer 10

i think i got it

Answer 11

So, what really happened was, (7)(6)x^(+3-3)
Which is (42)(x)^0
And that is 42*1 which is 42. Clear?