Exponents and Powers MCQs with Answers

What is the value of $\left(i^{25} - \left(\frac{1}{i}\right)^{32}\right)^2$?

• A.$-2i$
• B.$2i$
• C.$-2$
• D.$2$

Express $0.0064$ in simplest scientific form.

• A.$6.4 \times 10^{-4}$
• B.$6.4 \times 10^{-3}$
• C.$64 \times 10^{-4}$
• D.$0.64 \times 10^{-2}$

The power loss $P$ in a resistor is calculated using the formula $P = \frac{V^2}{R}$. The uncertainty in the potential difference $V$ is $e\%$ and the uncertainty in $R$ is $2\%$. What is the uncertainty in $P$?

• A.$(e^2 + 2)\%$
• B.$(e + 2)\%$
• C.$(2e - 2)\%$
• D.$(2e + 2)\%$

Past Paper MCQ

If $\left(\frac{3}{5}\right)^3 \times \left(\frac{3}{5}\right)^{-6} = \left(\frac{3}{5}\right)^{2x-1}$, what is the value of $x$?

• A.$-2$
• B.$1$
• C.$-1$
• D.$2$

Very small and very large quantities are expressed in ?

• A.Decimal notation
• B.Scientific notation
• C.Logarithmic notation
• D.Exponential notation

Two radioactive substances A and B have decay constants $5\lambda$ and $\lambda$, respectively. At $t = 0$, a sample has the same number of the two nuclei. The time taken for the ratio of the number of nuclei to become $\left(\frac{1}{e}\right)^2$ will be:

• A.$\frac{2}{\lambda}$
• B.$\frac{1}{\lambda}$
• C.$\frac{1}{2\lambda}$
• D.$\frac{1}{5\lambda}$

Who invented the Binomial Theorem?

• A.Al-Khwarizmi
• B.Omar Khayyam
• C.Ibn al-Haytham
• D.Al-Biruni

An expression which has at least one term involving a radical sign is called ?

• A.Radicand
• B.Surd
• C.Rational expression
• D.Irrational number

$\cot^2\theta - \csc^2\theta$ is equal to?

• A.$1$
• B.$-1$
• C.$0$
• D.$\cot^2\theta + \csc^2\theta$

The middle term of the expansion $(1 + 2x)^6$ is?

• A.3rd term
• B.4th term
• C.5th term
• D.6th term