Mathematics · Algebra · page 15 of 15

Exponents and Powers MCQs with Answers

Includes 24 past paper MCQs (marked).

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Exponents and Powers MCQs (141–147)

7 MCQs with answers and a short one-liner. Hide answers to test yourself.

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141.
$\left(\left(3\right)^2\right)^{2^9}$ is equal to _?
Correct Answer: C. $3^{1024}$
One-liner
The expression simplifies to $3^{1024}$ because $(a^m)^n = a^{m \times n}$ and $2 \times 2^9 = 2^{10} = 1024$.
142.
What is the value of $\left(\frac{3}{4}\right)^3$?
Correct Answer: D. $\frac{27}{64}$
One-liner
The value of $\left(\frac{3}{4}\right)^3$ is $\frac{27}{64}$.
143.
Simplify: $w^{-13} =$ _?
Correct Answer: A. $\frac{1}{w^{13}}$
One-liner
Using the negative exponent rule, $w^{-13} =$ $\frac{1}{w^{13}}$.
144.
If $b = -1$, then $b^2 =$ _?
Correct Answer: A. $+1$
One-liner
Since $(-1)^2 = (-1) \times (-1) = 1$, the value of $b^2$ when $b = -1$ is $+1$.
145.
If $2^x = 1$, then $x =$ ?
Correct Answer: D. $0$
One-liner
Since any non-zero number raised to the power $0$ equals $1$, the value of $x$ is $0$.
146.
The degree of $4x^2 + 8x^2y^3 + 4y^2$ is?
Correct Answer: C. $5$
One-liner
The degree of the polynomial $4x^2 + 8x^2y^3 + 4y^2$ is $5$.
147.
The sum of the coefficients in the expansion of $(1 + x)^5$ is
Correct Answer: B. $32$
One-liner
The sum of the coefficients in the expansion of $(1+x)^5$ is $32$.