Question

simplify 4^6 x 4^-8 to a fraction.


Responses
16
1/4^48
1/16

Answer 1

To simplify 4^6 x 4^-8, we can first simplify the powers of 4:

4^6 = 4 x 4 x 4 x 4 x 4 x 4 = 4096
4^-8 = 1/4^8 = 1/4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 = 1/65536

Now, we can multiply 4096 x (1/65536):

4096 x (1/65536) = 4096/65536 = 1/16

Therefore, 4^6 x 4^-8 simplifies to 1/16.