Question

Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.

Answer 1

`\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{( n)/( m)} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-( n)/( m)} \implies \cfrac{1}{a^{( n)/( m)}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ √(x)\cdot 4√(x)\implies x^{(1)/(2)}\cdot 4x^{(1)/(2)}\implies 4x^{(1)/(2)}x^{(1)/(2)}\implies 4x^{(1)/(2)+(1)/(2)}\implies 4x^{(2)/(2)}\implies 4x`