Question

Which expressions are equal to 6^3 4^1/4^3 HELP ME ASAP PLEASE

Answer 1

It’s Daice if you favtorize it will become 6^3 x1/4^4 then it becomes 6^3/4^2

Answer 2

We will be using division property of exponents.

The property is as follows:

`(x^(a))/(x^(b)) =x^(a-b)`

This means if we have same base in both numerator and denominator, the exponents will get subtracted.

In our question we have

`(4^(1))/(4^(3) ) =4^(1-3)`

`(4^(1))/(4^(3) ) =4^(-2)`

Now we will use another property of exponents here:

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

So if we take reciprocal of the above expression we will get,

`4^(-2) =(1)/(4^(2) )`

Rewriting the final answer:

`(6^(3) )/(4^(2) )`