Question

Rewrite the expression in the form k · x^n

Answer 1

Answer:

2√x can be written as

${2x}^{ \frac{1}{2} }$

So we have

${2x}^{ \frac{1}{2} } \times {4x}^{ - \frac{5}{2} } \\ = {2x}^{ \frac{1}{2} } \times {2x}^{- \frac{5}{2} \times 2 } \\ \\ = {2x}^{ \frac{1}{2} } \times {2x}^- {5} \\ \\ = {2x}^{ \frac{1}{2} - 5 } \\ \\ = {2x}^{ -\frac{9}{2} }$

Comparing with k.x^n

k = 2 n = -9/2

Hope this helps you