Exponents and Powers MCQs with Answers

If $2^x + 2^{x+1} = 3$, then find the value of $x$.

• A.$0$
• B.$1$
• C.$-1$
• D.$\frac{1}{2}$

If $[-73^7]^6 = 7x$, then $x$ is:

• A.$-73^{42}$
• B.$73^{42}$
• C.$-73^{13}$
• D.$73^{13}$

$\sqrt[10]{729}$ is approximately equal to?

• A.$2.86$
• B.$2.93$
• C.$2.72$
• D.$2.79$

If $0 < x < 1$, then which of the following is true?

• A.$x^3 < x$
• B.$x^3 > x$
• C.$x^3 = x$
• D.$x^3 = x^2$

Convert $0.00416$ into power system notation.

• A.$4.16 \times 10^{-3}$
• B.$4.16 \times 10^{-2}$
• C.$4.16 \times 10^{-5}$
• D.$4.16 \times 10^{-4}$

Simplify $a^2(-2b)^2$. Choose the correct option from the following:

• A.$4a^2b^2$
• B.$-4a^2b^2$
• C.$2a^2b^2$
• D.$-2a^2b^2$

Past Paper MCQ

If $x$, $y$ are two positive real numbers and $x^{13} = y^{14}$, then which of the following relations is true?

• A.$x = y^{\frac{14}{13}}$
• B.$y = x^{\frac{13}{14}}$
• C.$x^{13} y^{14} = 1$
• D.None of these

If $y = 5$, then what is the value of $10y \times \sqrt{y^3 - y^2}$?

• A.$50$
• B.$250$
• C.$1000$
• D.$500$

Every constant has a degree _?

• A.$-1$
• B.$1$
• C.$0$
• D.Undefined

If $3^{14} \div 9^{2} = 3^{x}$, find the value of $x$.

• A.$16$
• B.$7$
• C.$12$
• D.$10$