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

there are no short passages to look at

answer is : muchas/tipicas

have a nice day!

~recklesschicken