Question

Simplify.

Answer 1

I believe it should be  c 1/4^2

Answer 2

Answer: The correct option is C.

Explanation:

The given expression is,

$\frac{4^3.4^4}{4^9}$

Using the exponent rule $a^m.a^n=a^{m+n}$ , we get,

$\frac{4^{3+4}}{4^9}$

$\frac{4^{7}}{4^9}$

Using the exponent rule $\frac{a^m}{a^n}=a^{m-n}$ , we get,

${4^{7-9}}$

$4^{-2}$

Using the exponent rule $\frac{1}{a^n}=a^{-n}$ , we get,

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

Therefore, the option C is correct.