Mathematics · Algebra · page 10 of 15

Exponents and Powers MCQs with Answers

Includes 24 past paper MCQs (marked).

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Exponents and Powers MCQs (91–100)

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

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91.
Simplify: $\frac{a^6 \cdot a^3}{a^4} =$ _?
Correct Answer: A. $a^5$
One-liner
The simplified expression is $a^5$.
92.
The number of real solution(s) of the equation $x^3 - 4 = 0$ is (are) _?
Correct Answer: B. $1$
One-liner
The equation $x^3 - 4 = 0$ has exactly $1$ real solution, namely $x = \sqrt[3]{4}$.
93.
If $\sqrt{4x + 3} = 3$, find the value of $x$.
Correct Answer: B. $6$
One-liner
The value of $x$ is $6$.
94.
What is the value of $i^{101} + i^{102} + i^{103} + i^{104}$?
Correct Answer: A. $0$
One-liner
The value of $i^{101} + i^{102} + i^{103} + i^{104}$ is $0$.
95.
If $x \neq 0$, $\frac{x(x^5)^4}{x^4} = ?$
Correct Answer: A. $x^{17}$
One-liner
The simplified expression is $x^{17}$.
96.
Past Paper MCQ
If $4^{4x+1} = \frac{1}{64}$, then the value of $x$ is?
Correct Answer: C. $-1$
One-liner
The value of $x$ is $-1$.
97.
Fill in the blank with the correct inequality sign: $(-2)^4$ \_\_\_\_ $-2^4$
Correct Answer: C. $>$
One-liner
$(-2)^4 = 16$ and $-2^4 = -16$, so the correct inequality is $>$.
98.
The 5th term of a G.P. is 2, then the product of the first 9 terms is:
Correct Answer: B. $512$
One-liner
The product of the first 9 terms of the G.P. is $512$.
99.
The value of $2^3$ is?
Correct Answer: B. $8$
One-liner
The value of $2^3$ is $8$.
100.
If $2^x = 32$, then $x = ?$
Correct Answer: B. $5$
One-liner
Since $32 = 2^5$, the equation $2^x = 32$ gives $x = \mathbf{5}$.