tmua 2023 Q3

tmua · Uk · paper2 1 marks Exponential Functions True/False or Multiple-Statement Verification

Consider the claim: For all positive real numbers $x$ and $y$,
$$\sqrt { x ^ { y } } = x ^ { \sqrt { y } }$$
Which of the following is/are a counterexample to the claim? I $x = 1 , y = 16$ II $x = 2 , y = 8$ III $x = 3 , y = 4$
A none of them B I only C II only D III only E I and II only F I and III only G II and III only H I, II and III

..... 5

Consider the claim:
For all positive real numbers $x$ and $y$,

$$\sqrt { x ^ { y } } = x ^ { \sqrt { y } }$$

Which of the following is/are a counterexample to the claim?
I $x = 1 , y = 16$
II $x = 2 , y = 8$
III $x = 3 , y = 4$

A none of them
B I only
C II only
D III only
E I and II only
F I and III only
G II and III only
H I, II and III

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20