Answer: 2^16
Step-by-step explanation:
1. Since its asking for an exponent with a base of 2 turn all the numbers into exponents with the base of 2
16 x 4^3 x 64 -> (2^4) x ((2^2)^3) x (2^6)
2. Use the law of exponents to simplify
*if x, a, and b are variables then...
(x^a)^b -> x^(a*b)
x^a * x^b -> x^ (a+b)
(2^4) x ((2^2)^3) x (2^6)
= (2^4) x (2^(2*3)) x (2^6)
= (2^4) x (2^6) x (2^6)
= (2^(4+6)) x (2^6)
= 2^(10) x (2^6)
= 2^(10+6)
= 2^16
