Mathematics · Algebra · page 14 of 15

Exponents and Powers MCQs with Answers

Includes 24 past paper MCQs (marked).

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Exponents and Powers MCQs (131–140)

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

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131.
The base in $10^2$ is?
Correct Answer: B. $10$
One-liner
In $10^2$, the base is $10$ and the exponent is $2$.
132.
$(2^2)^3 \times (2^3)^2 = \text{?}$
Correct Answer: C. $4096$
One-liner
The value of $(2^2)^3 \times (2^3)^2$ is $4096$.
133.
If $8^a = 16^b$, then the ratio of $a$ to $b$ is _?
Correct Answer: A. $\frac{3}{4}$
One-liner
The ratio $a : b$ is $\frac{3}{4}$.
134.
If $x^3 = 64$, then $x =$ _?
Correct Answer: A. $4$
One-liner
The cube root of $64$ is $4$, since $4^3 = 64$.
135.
$(64)^{\frac{2}{3}}$ is equal to _?
Correct Answer: D. $16$
One-liner
The value of $(64)^{\frac{2}{3}}$ is $16$.
136.
What is the result of $5^2$?
Correct Answer: B. $25$
One-liner
The result of $5^2$ is $25$.
137.
What should be the value of $x$ in the equation $x\sqrt{128} = \sqrt{162}x$?
Correct Answer: D. $12$
One-liner
The value of $x$ that satisfies the equation $x\sqrt{128} = \sqrt{162}x$ is $12$.
138.
Simplify: $\frac{4^3}{4} = \text{?}$
Correct Answer: B. $16$
One-liner
The simplified value of $\frac{4^3}{4}$ is $16$.
139.
Past Paper MCQ
If we multiply a fraction by itself and divide the product by its reciprocal, the fraction thus obtained is $18\frac{26}{27}$. What is the original fraction?
Correct Answer: D. $\frac{8}{3}$
One-liner
The original fraction is $\frac{8}{3}$.
140.
Solve: $\sqrt{13^4}$
Correct Answer: C. $169$
One-liner
$\sqrt{13^4} = 13^{4/2} = 13^2 = 169$.