ZS Associates Exponents Quiz-4

Question 1

Time: 00:00:00
We are given with 4 variables:
A = 42
B = 229
C = 9261
And D = 3
Find the value of
\frac{(A \times B)}{C^{\frac{1}{D}}}

458

458

460

460

428

428

438

438

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Question 2

Time: 00:00:00
Let us assume that the given equation is \frac{(-1)^{132}}{5^{-1}+3^{-1}}
Find the simplified value:

\frac{16}{9}

\frac{16}{9}

\frac{-16}{9}

\frac{-16}{9}

\frac{15}{8}

\frac{15}{8}

\frac{-15}{8}

\frac{-15}{8}

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Question 3

Time: 00:00:00
Let us assume that the given equation is (\frac{2^{3}}{3^{2}})^{\frac{2}{3}} \times \frac{3^{3}}{2^{2}}
Find the simplified value:

3^{\frac{5}{3}}

3^{\frac{5}{3}}

6^{\frac{2}{3}}

6^{\frac{2}{3}}

8^{\frac{4}{3}}

8^{\frac{4}{3}}

9^{\frac{1}{3}}

9^{\frac{1}{3}}

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Question 4

Time: 00:00:00
Let us assume that the given equation is:
\frac{a^{\frac{27}{2}}}{a^{\frac{23}{2}}} \times \frac{\sqrt{b^{21}}}{\sqrt{b^{23}}}

a^{1} \times b^{-1}

a^{1} \times b^{-1}

a^{2} \times b^{-2}

a^{2} \times b^{-2}

a^{1} \times b^{-2}

a^{1} \times b^{-2}

a^{2} \times b^{-1}

a^{2} \times b^{-1}

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Question 5

Time: 00:00:00
Evaluate (0.00243)^{\frac{2}{5}}

0.03

0.03

0.003

0.003

0.09

0.09

0.009

0.009

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Question 6

Time: 00:00:00
Let us assume that the given equation is: x^{a} = y , y^{b}=z and abc=1
Find the value of z^{c}

x

x

y

y

xy

xy

x/y

x/y

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Question 7

Time: 00:00:00
Which of the following among all the options has the highest value?

4^{\frac{1}{4}}

4^{\frac{1}{4}}

3^{\frac{7}{10}}

3^{\frac{7}{10}}

5^{\frac{1}{2}}

5^{\frac{1}{2}}

6^{\frac{1}{5}}

6^{\frac{1}{5}}

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Question 8

Time: 00:00:00
Choose the option that most appropriately arranges the given numbers in descending order by their value:
3^{34}, 2^{51}, 7^{17}

3^{34}>7^{17}>2^{51}

3^{34}>7^{17}>2^{51}

2^{51}>7^{17}>3^{34}

2^{51}>7^{17}>3^{34}

3^{34}=7^{17}=2^{51}

3^{34}=7^{17}=2^{51}

None

None

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Question 9

Time: 00:00:00
2^{122}+2^{124}+2^{126}+2^{128} is divisible by:

11

11

17

17

19

19

21

21

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Question 10

Time: 00:00:00
Determine the value of the given equation:
\sqrt{30+\sqrt{6\sqrt{36}} + 8 \times \sqrt{8\sqrt{64}}}

10

10

20

20

15

15

25

25

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["0","40","60","80","100"]
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