Exponents and Powers MCQs with Answers

If $x = 3 - \sqrt{8}$, then $x + \frac{1}{x} =$ _?

• A.$4$
• B.$6$
• C.$8$
• D.$3$

If $\sqrt{\frac{n}{3}}$ is an even integer, which of the following could be the value of $n$?

• A.$48$
• B.$108$
• C.$144$
• D.$192$

Past Paper MCQ

If $1 < x < 2$, then the value of $\sqrt{(x - 1)^2} + \sqrt{(3 - x)^2}$ is:

• A.$2$
• B.$4$
• C.$2x - 4$
• D.$4 - 2x$

If $x = \sqrt{2} - 1$, then find $x^2$.

• A.$3 - 2\sqrt{2}$
• B.$3 + 2\sqrt{2}$
• C.$1 - 2\sqrt{2}$
• D.$2\sqrt{2} - 3$

What is the value of $7^2 + 3^2$?

• A.$52$
• B.$49$
• C.$64$
• D.$58$

If $x = 0.3$, then $x^{0.5} \times x^{0.2} \times x^{0.3} =$ _?

• A.$0.3$
• B.$0.09$
• C.$1$
• D.$0$

The notation of $\sqrt[n]{x^m}$ in power form is:

• A.$x^{m+n}$
• B.$x^{m-n}$
• C.$x^{m/n}$
• D.$x^{m \times n}$

$5^2$ (five squared) = ?

• A.$10$
• B.$25$
• C.$7$
• D.$125$

Derivative of $2^{-x}$ with respect to $x$, is ?

• A.$2^{-x}$
• B.$2^{-x} \log 2$
• C.$-2^{-x}$
• D.$-2^{-x} \log 2$

The product of $\sqrt{-2} \times \sqrt{-2}$ is equal to ?

• A.$2$
• B.$-2$
• C.$2i$
• D.$-2i$