Question

Rewrite the expression in the picture in the form k times x^n.

Answer 1

8 x^-2

Explanation:

2 sqrt(x) * 4x ^ -5/2

Rewriting

2 x^1/2 * 4x ^ -5/2

2*4 = 8

x^1/2 * x^ -5/2

We know a^b * a^c = a^(b+c)

x^ 1/2 * x^ -5/2 = x^ (1/2 -5/2 ) = x^ (-4/2) = x^-2

8 x^-2