Simplify the following expression:

4^4/4^6
-16
16
1/16
-1/16
Please help ASAP!

when dividing, just subtract exponents

4^4/4^6 = 4^(4-6) = 4^-2 = 1/16

or, you could look at it as

4^4/4^6 = 4^4/((4^4)(4^2))
now the 4^4 cancels, leaving
1/4^2 = 1/16

Thank you!

(4^6)(4^3)

To simplify the expression 4^4/4^6, we need to first simplify the exponents separately, and then perform the division.

The rule for dividing exponents with the same base is to subtract the exponents. So, let's simplify the exponents first:

4^4 = 4 * 4 * 4 * 4 = 256
4^6 = 4 * 4 * 4 * 4 * 4 * 4 = 4096

Now we can rewrite the expression as:

256/4096

Since both numbers have a common factor of 256, we can simplify the fraction by dividing both the numerator and denominator by 256:

256/256 = 1
4096/256 = 16

The simplified form of the expression is:

1/16

So, the answer is 1/16.