how to solve

4^4/4^6

1 answer

4^4/4^6 can be simplified by using the rule of exponents which states that when dividing two powers with the same base, we can subtract their exponents.

So, we can write 4^4/4^6 as 4^(4-6) which is 4^-2.

Now, we know that any number raised to a negative power is equal to 1 divided by that number raised to the positive power.

Therefore, 4^-2 is equal to 1/4^2 which simplifies to 1/16.

So, the solution of 4^4/4^6 is 1/16.