Question

Using the properties of exponents and radicals, design at least three different equivalent forms of x². You must show how each one can be simplified back to x² in two or more steps. Stretch your mind and get creative! Keep in mind that something too simple, like x • x would not be acceptable since it takes only one step to convert it to x².

Answer 1

@jim_thompson5910

Answer 2

@melchar

Answer 3

I'll write one example to get you started


\[\Large x^{1/2}*x^{3/2} = x^{1/2+3/2}\]


\[\Large x^{1/2}*x^{3/2} = x^{(1+3)/2}\]


\[\Large x^{1/2}*x^{3/2} = x^{4/2}\]


\[\Large x^{1/2}*x^{3/2} = x^{2}\]

Answer 4

which property is this

Answer 5

@jim_thompson5910