# 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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