4^7/4^9
A) -16
B) 1/6
C) 1/8
D) 8
C) 1/8
To simplify the expression 4^7/4^9, we can use the exponent rule that states a/b^n = a^(n-m)/b^(n-m), where m is any integer.
In this case, we have 4^7/4^9. Applying the exponent rule, we can rewrite this expression as 4^(7-9)/4^(7-9).
Simplifying the exponents, we get 4^(-2)/4^(-2).
Using another exponent rule that states a^(-n) = 1/a^n, we can rewrite this expression as 1/4^2.
Simplifying further, we have 1/16.
Therefore, the correct answer is B) 1/16.