Question

Which equation is equivalent to 16^2p=32^p+3

Answer 1

C is the correct option.

Explanation:

16 = 2^4

32 = 2^5

We know that (a^n)^m = a^nm

Therefore

16^2p=32^p+3

(2^4)^2p = (2^5)^p+3

(2)^8p = 2^5p+15

Therefore the correct option is C....

Answer 2

The correct answer is third option

2^8p = 2^(5p + 15)

Explanation:

Points to remember

Identities

(xᵃ)ᵇ = xᵃᵇ

To find the correct option

It is given that,

16^2p = 32^(p + 3)

16 = 2⁴ and 32 = 2⁵

16^2p = 32^(p + 3) can be written as,

(2⁴)^2p = (2⁵)^(p + 3)

2^8p = 2^(5p + 15)

The correct answer is third option

2^8p = 2^(5p + 15)