Question

Is the expression 3 squared/ 3 cubed equivalent to 3 cubed/ 3 squared?Explain.

Answer 1

$\frac{{3}^{2} }{ {3}^{3} } = \frac{3 \times 3}{3 \times 3 \times 3} = \frac{1}{3}$
$\frac{ {3}^{3} }{ {3}^{2} } = \frac{3 \times 3 \times 3}{3 \times 3} = 3$
not equivalent because 1/3 doesn't equal 3!