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 }* x^1=x`

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

`x^{(1)/(3)}* x^{(1)/(3)}* x^{(1)/(3)}^{}=x^{((1)/(3)+(1)/(3)+(1)/(3))}=x^1=x^{}`