Question

Write 2^3 multiply √ 2 as a single power of 2.

Answer 1

2^3 x 2^1/2 = 2^7/2

Explanation:

Law of indices state that:

a^n × a^y = a^n+y

root 2 is the same thing as 2^1/2

so we can write this equation as;

2^3 × 2^1/2 = 2^3+1/2 = 2^7/2

Answer 2

`2^3 \cdot \sqrt 2\\\\=2^3 \cdot 2^(\tfrac 12)\\\\=2^(3+ \tfrac 12)\\\\=2^(\tfrac 72)`