Question

4^7/4^9

-16
1/16
1/8
8

Answer 1

[AI-generated answer — Bot]

1/16

Answer 2

[AI-generated answer — Step-by-Step Bot]

To simplify the expression 4^7/4^9, we can use the rule of exponentiation: when two powers with the same base are divided, subtract the exponents.

The expression can be simplified as follows:

4^7 / 4^9 = 4^(7 - 9) = 4^(-2)

Now, we know that any number raised to the power of -n is equal to 1 divided by that number raised to the power of n.

Therefore,

4^-2 = 1 / 4^2

4^2 = 16, so

1 / 4^2 = 1 / 16

Hence, the simplified expression is 1/16.