# Surds and Indices Quiz-1

Question 1

Time: 00:00:00
if 4x = 1024 then find the value of x2+3 .

25

25

28

28

30

30

32

32

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Question 2

Time: 00:00:00
$\frac{1}{1+ a^{(n-m)}}\frac{1}{1+a^{(m-n)}} = ?$

1

1

zero

zero

-1

-1

2

2

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Question 3

Time: 00:00:00
The value of $\sqrt{8}^{1/3}$

$\sqrt{2}$

$\sqrt{2}$

3

3

$\sqrt{3}$

$\sqrt{3}$

5

5

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Question 4

Time: 00:00:00
If a and b are whole numbers such that$a^{b}=144$,the value of $\left ( a-1 \right )^{b+1}$.

1

1

11

11

12

12

1331

1331

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Question 5

Time: 00:00:00
$\left ( 81 \right )^{0.16}\times \left ( 81 \right )^{0.09}$=?

3

3

4

4

5

5

2

2

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Question 6

Time: 00:00:00
If 4(a - b) = 1024 and 5(a + b) = 3125, then a is equal to:

5

5

4

4

3

3

6

6

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Question 7

Time: 00:00:00
$\left ( 1728 \right )^{\left ( -2/3 \right )}$=?

$\frac{1}{121}$

$\frac{1}{121}$

$\frac{1}{144}$

$\frac{1}{144}$

$\frac{-1}{144}$

$\frac{-1}{144}$

$\frac{-1}{81}$

$\frac{-1}{81}$

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Question 8

Time: 00:00:00
Find the value of,$\frac{1}{64^{-(2/3)}} + \frac{1}{256^{-(3/4)}} +\frac{1}{729^{-(3/6)}}$

107

107

130

130

95

95

109

109

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Question 9

Time: 00:00:00
If $3^{x} \times 27^{(1/4)} =3^{(1/4)}$ then find the value of x ?

$\frac{-1}{4}$

$\frac{-1}{4}$

$\frac{-1}{2}$

$\frac{-1}{2}$

$\frac{1}{3}$

$\frac{1}{3}$

None

None

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Question 10

Time: 00:00:00
If 5x=1250.what is the value of 5x-2 ?

25

25

20

20

50

50

75

75

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