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:

$\frac{x^{a}}{x^{b}} =x^{a-b}$

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

In our question we have

$\frac{4^{1}}{4^{3} } =4^{1-3}$

$\frac{4^{1}}{4^{3} } =4^{-2}$

Now we will use another property of exponents here:

$x^{-a} =\frac{1}{x^{a} }$

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

$4^{-2} =\frac{1}{4^{2} }$

Rewriting the final answer:

$\frac{6^{3} }{4^{2} }$