Examine the following incorrect relationships and find the mistake in the work on the right side of the FIRST equal sign.

• ??8???3=??5$\frac{x^8}{x^{?3}}=x^5$
• (??5?2)?3=???156${\left(\frac{x^5}{?2}\right)}^{?3}=\frac{x^{?15}}{6}$
• 16?14=?4${16}^{\frac{?1}{4}}=?4$
• 9+81???????=3+9=12$\sqrt{9+81}=3+9=12$

Post an explanation of why each one is incorrect and then write the expression correctly

• Where are the errors in the proposed corrections (mine or classmates’)?
• Which solution is correct? How do you know?
• Have we each given thorough explanations for ou