Exponents and Powers MCQs with Answers

If $A$ is a non-singular square matrix, then $AA^{-1}$ equals ?

• A.$I$
• B.$A$
• C.$A^2$
• D.$0$

What is the value of the integral $\int e^{x^2 + \ln x} \, dx$?

• A.$\frac{1}{2} e^{x^2} + C$
• B.$e^{x^2} + C$
• C.$\frac{1}{2} x e^{x^2} + C$
• D.$2 e^{x^2} + C$

Find the value of $-i^{16} \cdot i^5$.

• A.$1$
• B.$i$
• C.$-1$
• D.$-i$

Evaluate: $\int_{-1}^{1} (x + 1)^2 \, dx = ?$

• A.$\frac{2}{3}$
• B.$\frac{4}{3}$
• C.$\frac{16}{3}$
• D.$\frac{8}{3}$

Past Paper MCQ

If $n$ is a natural number, then $9^{2n} - 4^{2n}$ is always divisible by:

• A.$5$ only
• B.$13$ only
• C.Both $5$ and $13$
• D.Neither $5$ nor $13$

Find $x$, if $(81)^9 = x$.

• A.$81^9$
• B.$9$
• C.$729$
• D.$0.5$

$(5i)(-2i) =$ _?

• A.$-10i$
• B.$-10$
• C.$10i$
• D.$10$

In matrices, $(AB)^{-1} =$ _?

• A.$A^{-1}B^{-1}$
• B.$A^{-1} + B^{-1}$
• C.$B^{-1}A^{-1}$
• D.$(BA)^{-1}$

If $x > 0$ and $xy = 1$, then the minimum value of $x + y$ is:

• A.$0$
• B.$1$
• C.$2$
• D.$4$

What is the slope of the tangent at $(2, 4)$ to the curve $y = x^2$?

• A.$2$
• B.$4$
• C.$8$
• D.$0$