Question

Express 32^3 with a base of 2.

Answer 1

2^(15)

Explanation:

32³ wants to be expressed in base 2.

Now,let's express 32 in terms of 2. This gives; 32 = 2 × 2 × 2 × 2 × 2.

This means 32 = 2^(5)

Thus; 32³ = (2^(5))³

In indices the 5 will multiply the 3 to give;

32³ = 2^(15)