Exponents and Fractions Online Quiz



Following quiz provides Multiple Choice Questions (MCQs) related to Exponents and Fractions. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers
Q 1 - Evaluate $\frac{4^2}{8}$

Answer : C

Explanation

Step 1:

$\frac{4^2}{8} = \frac{4 \times 4}{8} = \frac{16}{8}$

Step 2:

$\frac{16}{8} = \frac{2}{1} = 2$

Step 3:

So, $\frac{4^2}{8} = 2$

Q 2 - Evaluate $\left ( \frac{2}{7} \right )^3$

Answer : A

Explanation

Step 1:

$\left ( \frac{2}{7} \right )^3 = \frac{2^3}{7^3}$

Step 2:

$\frac{2^3}{7^3} = \frac{2 \times 2 \times 2}{7 \times 7 \times 7} = \frac{8}{343}$

Step 3:

So, $\left ( \frac{2}{7} \right )^3 = \frac{8}{343}$

Answer : D

Explanation

Step 1:

$\frac{9}{3^4} = \frac{9}{3 \times 3 \times 3 \times 3}$

Step 2:

$\frac{9}{3 \times 3 \times 3 \times 3}$

Step 3:

So, $\frac{9}{3^4} = \frac{9}{81} = \frac{1}{9}$

Answer : B

Explanation

Step 1:

$\frac{3^2}{6^3} = \frac{3 \times 3}{6 \times 6 \times 6}$

Step 2:

$\frac{3 \times 3}{6 \times 6 \times 6} = \frac{9}{216} = \frac{1}{24}$

Step 3:

So, $\frac{3^2}{6^3} = \frac{1}{24}$

Q 5 - Evaluate $\left ( \frac{7}{8} \right )^2$

Answer : A

Explanation

Step 1:

$\left ( \frac{7}{8} \right )^2 = \frac{7 \times 7}{8 \times 8}$

Step 2:

$\frac{7 \times 7}{8 \times 8} = \frac{49}{64}$

Step 3:

So, $\left ( \frac{7}{8} \right )^2 = \frac{49}{64}$

Answer : C

Explanation

Step 1:

$\frac{7^2}{5^3} = \frac{7 \times 7}{5 \times 5 \times 5}$

Step 2:

$\frac{7 \times 7}{5 \times 5 \times 5} = \frac{49}{125}$

Step 3:

So, $\frac{7^2}{5^3} = \frac{49}{125}$

Q 7 - Evaluate $\left ( \frac{4}{11} \right )^2$

Answer : B

Explanation

Step 1:

$\left ( \frac{4}{11} \right )^2 = \frac{4^2}{11^2}$

Step 2:

$\frac{4^2}{11^2} = \frac{16}{121}$

Step 3:

So, $\left ( \frac{4}{11} \right )^2 = \frac{16}{121}$

Answer : D

Explanation

Step 1:

$\frac{4}{9^2} = \frac{4}{9 \times 9}$

Step 2:

$\frac{4}{9 \times 9} = \frac{4}{81}$

Step 3:

So, $\frac{4}{9^2} = \frac{4}{81}$

Answer : C

Explanation

Step 1:

$\frac{2^2}{7} = \frac{2 \times 2}{7}$

Step 2:

$\frac{2 \times 2}{7} = \frac{4}{7}$

Step 3:

So, $\frac{2^2}{7} = \frac{4}{7}$

Answer : A

Explanation

Step 1:

$\frac{3^2}{5^3} = \frac{3 \times 3}{5 \times 5 \times 5}$

Step 2:

$\frac{3 \times 3}{5 \times 5 \times 5} = \frac{9}{125}$

Step 3:

So, $\frac{3^2}{5^3} = \frac{9}{125}$


exponents_and_fractions.htm

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