Exponents and Powers MCQs with Answers

Past Paper MCQ

Convert into radical form: $X^{\frac{2a}{b}}$ is

• A.$\sqrt[b]{X^{2a}}$
• B.$\sqrt[2a]{X^{b}}$
• C.$X^{\frac{b}{2a}}$
• D.$\sqrt{X^{2ab}}$

Past Paper MCQ

If $3^{(x+3)} + 7 = 250$, then $x$ is equal to?

• A.$1$
• B.$2$
• C.$3$
• D.$4$

Find $x$, if $x^{\frac{4}{9}} = 2$.

• A.$\frac{9}{4}$
• B.$\frac{3}{2}$
• C.$\frac{4}{9}$
• D.$\frac{2}{3}$

The value of $1 + 2^0 + 3^2 + \frac{4^0}{5} + 6^0$ would be _?

• A.$11$
• B.$2$
• C.$12$
• D.$10$

The product of all three cube roots of unity is:

• A.$0$
• B.$1$
• C.$-1$
• D.$\omega$

What is the value of $7^2$?

• A.$72$
• B.$14$
• C.$27$
• D.$49$

What is the value of $a^0$ (where $a \neq 0$)?

• A.$0$
• B.$1$
• C.$a$
• D.Undefined

The value of $x$ in $5^{x+2} - 5^x = 600$ is _?

• A.$0$
• B.$3$
• C.$1$
• D.$2$

If $b^n = b^m$, then what values of $m$ and $n$ satisfy the equation (for $b \neq 0$)?

• A.$m = 0$ and $n = 0$
• B.$m = n$ for all real values
• C.$m = 1$ and $n = 0$
• D.$m = 0$ and $n = 1$

If $2^a \cdot 2^b = 3^c$, what is the value of $\frac{a+b}{c}$?

• A.$\frac{\log 3}{\log 2}$
• B.$\frac{\log 2}{\log 3}$
• C.$1$
• D.Undefined