please see attachment below

Answer:
a) 2^1
b) 2^3
Step-by-step explanation:
a) (16*2^3)/64=(2^4*2^3)/2^6=2^(4+3-6)=2^1
b) 64/2^3=2^6/2^3=2^(6-3)=2^3
Answer:
[tex]a. \: \: {2}^{1} \\ b. \: \: {2}^{3} [/tex]
Step-by-step explanation:
[tex]a. \: \: \frac{16 \times {2}^{3} }{64} \\ \frac{ {2}^{4} \times {2}^{3} }{ {2}^{6} } \\ \frac{ {2}^{4 + 3} }{ {2}^{6} } \\ \frac{ {2}^{7} }{ {2}^{6} } \\ {2}^{7 - 6} \\ {2}^{1} \\ [/tex]
[tex]b. \: \: 64 \div {2}^{3} \\ {2}^{6} \div {2}^{3} \\ {2}^{6 - 3} \\ {2}^{3} [/tex]