Question

Rewrite the expression as a sum of terms, where each term is in the form k\cdot a^nk⋅a

Answer 1

Answer:

  $2a^{\frac{5}{2}}-4a^{-\frac{1}{2}}$

Step-by-step explanation:

It looks like you want to expand the expression ...

  $\sqrt{a}\left(2a^2 -\dfrac{4}{a}\right)$

Use the distributive property and rules of exponents.

  $=2a^{(\frac{1}{2}+2)}-4a^{(\frac{1}{2}-1)}\\\\=\boxed{2a^{\frac{5}{2}}-4a^{-\frac{1}{2}}}$

_____

The relevant rules of exponents are ...

  √a = a^(1/2)

  1/a = a^-1

  (a^b)(a^c) = a^(b+c)