Question

Simplify the expression: (x^m)^n × (x^n)^n-m

Please explain the steps to doing this!

Answer 1

\[(x^m)^n = x ^{m \times n}\]

Answer 2

\[(x^n)^{(n-m)} = x ^{(n \times n - n \times m)}\]

Answer 3

so x to the power of negative something = 1/x to the power of something
example:
x^(-2) = 1/(x^2)

Answer 4

so split the above :
x^(nn - nm) = x^nn times x^-nm
= x^nn / x^nm

following ok so far @kelly.dinh1 ?

Answer 5

... u still there kelly?

Answer 6

Yes, I am. I'm so sorry! Was busy working on another equation.

Answer 7

I don't understand. Where did the (x^n)(n-m) = x^(n-n - n×m) come from?

Answer 8

these are basic exponent principals (maths rules)

go here:
http://www.mathsisfun.com/algebra/exponent-laws.html
scroll down to the "laws of exponents" section and learn these maths laws
u need to understand them before you can understand this type of equation

main ones are x^-6 = 1 / x^6

(x^2)^4 = x^(2 times 4)

x^2 times x^4 = x^(2+4)

Answer 9

Alright, I will. It's been awhile since I've touched up on this subject so this review was needed. Thank you so much!

Answer 10

sáll good, happy to help hey
slaters