Simplify and choose the correct option. (2^3 × 2)^2 = ?
(a) 2^6
(b) 2^3
(c) 2^8
(d) All of the above.

Step-by-step explanation:

Using law of exponent

Again, using law of exponent

∴ The option (c) 2⁸ is the ur correct answer.

(c) 2^8

Step-by-step explanation:

Given: (2^3 × 2)^2

Rewrite: (2³ x 2)²

Cube: (8 x 2)²

Multiply: (16)²

Square: 256

(a) 2^6

= 64 -> Not our answer

(b) 2^3

We can tell this isn't our answer as it is smaller than a, and a was too small

(c) 2^8

= 256 -> 256 = 256 (from above) so this is our answer

(d) All of the above.

Incorrect, it won't be "all the options" as only one can be correct in this scenario