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)`