Exponents and Powers MCQs with Answers

Trichotomy is a property of:

• A.Equality
• B.Inequality
• C.Congruence
• D.Similarity

Suppose $A = BC$, where $A$ has the dimension $L/M$ and $C$ has the dimension $L/T$. Then $B$ has the dimension:

• A.$TL/M$
• B.$M/T$
• C.$L^2/(MT)$
• D.$T/M$

If $A$ and $B$ are square matrices of the same order, then $(AB)^t = \text{_}$?

• A.$A^t B^t$
• B.$B^t A^t$
• C.$A^t + B^t$
• D.$AB$

Simplify: $\sqrt{-98} =$ _?

• A.$7\sqrt{2}i$
• B.$-7\sqrt{2}$
• C.$7\sqrt{2}$
• D.$7i\sqrt{2}i$

If $Z_1 = 2 - i$ and $Z_2 = 3 + i$, then the product of $Z_1$ and $Z_2$ is:

• A.$7 - i$
• B.$5 + i$
• C.$7 + i$
• D.$5 - i$

Past Paper MCQ

Given that $10^{0.48} = x$, $10^{0.70} = y$ and $x^z = y^2$, then the value of $z$ is closest to _?

• A.$1.5$
• B.$2.1$
• C.$2.9$
• D.$3.4$

Find $\frac{d}{dx}$ of $(2x + 3)^4$:

• A.$4(2x + 3)^3$
• B.$2(2x + 3)^3$
• C.$8(2x + 3)^4$
• D.$8(2x + 3)^3$

Find $x$, if $(12)(12^3) = x$.

• A.$144$
• B.$4$
• C.$12$
• D.$3$

If $z = i$, then $z^2 =$ _?

• A.$i$
• B.$1$
• C.$-i$
• D.$-1$

What is the value of the limit $\lim_{x \to \infty} \frac{2}{x}$?

• A.$\infty$
• B.$2$
• C.$0$
• D.$1$