Question

Which of the following expressions are equivalent? Justify your reasoning.4A.1B.-1х10C.√x5 4 2X X X1 1 13 3 3D. X X X

Answer 1

B and D.

B .

$\frac{1}{x^{-1}\text{ }}=\text{ 1 }\times x^1=x$

D. Since all terms have the same base, we can add exponents.

$x^{\frac{1}{3}}\times x^{\frac{1}{3}}\times x^{\frac{1}{3}}^{}=x^{(\frac{1}{3}+\frac{1}{3}+\frac{1}{3})}=x^1=x^{}$