Question

What is the value of 4^6/4^8

A. 1/1024
B. 1/256
C. 1/64
D. 1/16​

Answer 1

D

Explanation:

Using the rule of exponents

`(a^(m) )/(a^(n) )` with n > m

=
`(1)/(a^((n-m)) )` , then

`(4^(6) )/(4^(8) )`

=
`(1)/(4^((8-6)) )`

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

=
`(1)/(16)` → D

Answer 2

1/16

Explanation:

We know that a^b / a^c = a^(b-c)

4^6/4^8

4^(6-8)

4^-2

We know that a^-b = 1/a^b

1/4^2

1/16