Question

Simplify x X x^5 divided by x^2 X x

Answer 1

X × X^5 ÷ X^2 ×X

X^3

because the same variable can be cancelled.

Answer 2

`\huge\boxed{(x\cdot x^5):(x^2\cdot x)=x^3}`

Explanation:

`(x\cdot x^5):(x^2\cdot x)\qquad|\text{use}\ a^n\cdot a^m=a^(n+m)\\\\=x^(1+5):x^(2+1)=x^6:x^3\qquad|\text{use}\ a^n:a^m=a^(n-m)\\\\=x^(6-3)=x^3`