Question

Pls help its urgent im so confused and my brain feels like its burning from all the useless thinking I've done on this one question..

It says, "Simplify the Expression. Assume x is a non zero. Your answer should only have positive exponents"
Expression: x^-10×x^6

Answer 1

`(1)/(x^(4))`; x ≠ 0

Or if thats wrong, just put 1/x^4

Explanation:

Okay so heres how we solve this

Rewrite:

The "x is a non zero" is a very poorly written exception so I completely understand if you started racking your brain over that

`x^(-10)*x^6` ; x ≠ 0

Note; you can ignore the expression until you write the simplified answer.

1 - Multiply using rules of exponents

`x^(-10) * x^6 = x^((-10~+~6)) = x^(-4)`

2 - Get rid of the negative exponent by using rules of exponents

`x^(-4) = (1)/(x^4)`

3 - Rewrite with it being simplified

1/(x^4); x ≠ 0

Answer 2

Explanation:

1/(x^4) or x^-4