Which expression is equivalent to 2^6 x (2^2)^3?
O A 212
B. 215
O c. 236
OD 254

A. [tex]\bold{\boxed{\green{2^{12}}}}[/tex]
Answer:
Solution given:
[tex]2^6 x (2^2)^3[/tex]
we know that
product of power and power is added and power to power is multiplied for same base only.
I.E.
product of same base but different power:[tex]a^b+a^c=a^(b+c)[/tex]
power to power :[tex] (a^b)^c=a^(b*c)[/tex]
By using above property
[tex]2^6+2^{2*3}[/tex]
[tex] 2^6+2^6[/tex]
[tex]2^{[6+6]}=2^{12}[/tex]