Question

How do you simplify the expression `(7^3 x^6)/(7^6 x^4)`?

Answer 1

`x^2/343`

Explanation:

Using the `color(blue)" rules for exponents "`

`• a^m/a^n = a^(m-n)`

`• a^(-m) hArr 1/a^m`

`(7^3 x^6)/(7^6 x^4) = 7^3/7^6 xxx^6/x^4`

applying the above rules :

`7^3/7^6 xxx^6/x^4 = 7^(3-6)xxx^(6-4) = 7^(-3) xxx^2`

and `7^(-3)xxx^2 = x^2/7^3 = x^2/343`