Question

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

Answer 1

A. $\bold{\boxed{\green{2^{12}}}}$

Answer:

Solution given:

$2^6 x (2^2)^3$

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:$a^b+a^c=a^(b+c)$

power to power :$(a^b)^c=a^(b*c)$

By using above property

$2^6+2^{2*3}$

$2^6+2^6$

$2^{[6+6]}=2^{12}$