Question

Simplify.

43 · 44 / 49

A) 4^16

B) 4^2

C) 1/4^2

D) 1/4

Answer 1

i believe it should be  c 1/4^2

Answer 2

Answer: The correct option is C.

Step-by-step explanation:

The given expression is,

`(4^3.4^4)/(4^9)`

Using the exponent rule
`a^m.a^n=a^(m+n)` , we get,

`(4^(3+4))/(4^9)`

`(4^(7))/(4^9)`

Using the exponent rule
`(a^m)/(a^n)=a^(m-n)` , we get,

`{4^(7-9)}`

`4^(-2)`

Using the exponent rule
`(1)/(a^n)=a^(-n)` , we get,

`4^(-2)}=(1)/(4^2)`

Therefore, the option C is correct.