For $a0$, simplify $\dfrac{a^{\frac52}a^{-\frac12}}{a^{-3}}$.[2] Ravi claims that

Question

For $a>0$, simplify $\dfrac{a^{\frac52}a^{-\frac12}}{a^{-3}}$.[2] Ravi claims that $2^3+2^4=2^7$. Explain his error.[1]

Accepted Answer

(a) $a^5$ (b) The multiplication law does not apply to addition.

Indices and an addition claim