Exponents and Powers Test

Result

Exponents and Powers Test - 11

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Weekly Quiz Competition

Question 1
1 / -0

If (x + y)³ = 1331 and(x − y)⁵ = 243, then find x² − y².

A
33

B
22

C
11

D
44

Solution

(x+y)³ = 1331 ⇒ x + y = (1331)^1/3 = 11 (x−y)⁵ = 243 ⇒x − y = (243)^1/5 = 3 ⇒ (x + y) (x − y) = 11 × 3 = 33.
Question 2
1 / -0

If xyz = 0, then find the value of (a^x)^zy + (a^y)^zx + (a^z)^xy

A
3

B
2

C
1

D
0

Solution

(a^x)^zy + (a^y)^zx + (a^z)^xy = a^xyz + a^xyz + a^xyz = 3 × a^xyz xyz = 0 ⇒ 3 × a^xyz = 3 × a^∘ = 3
Question 3
1 / -0

If 2²ⁿ⁻³ = 2048, then (4n + 3n²) = ________

A
175

B
25

C
125

D
75

Solution

(a) 2²ⁿ⁻³ = 2048 ⇒ 2²ⁿ⁻³ = 2¹¹ ⇒ n = 7 ⇒ 4n + 3n² = 4 × 7 + 3 × 7² = 28 + 147 = 175.
Question 4
1 / -0

If 2^2x−y = 32 and 2x + y = 16 then find x² + y² is equal to

A
9

B
10

C
11

D
13

Solution

2^2x−y = 32 ⇒ 2x − y = 5 ??..(1) ⇒ 2x + y = 16⇒ x + y = 4 ??(2) Adding (1) & (2) ⇒ 3x = 9 ⇒ x = 3

⇒ y = 4 − 3 = 1 ∴ x² + y² = 32 + 12 = 10
Question 5
1 / -0

(−9)³ ÷ (−9)⁸ is equal to

A
(9)⁵

B
(9)⁻⁵

C
(−9)⁵

D
(−9)⁻⁵

Solution

(−9)³ ÷ (−9)⁺ = (−9)³⁻⁸ = (−9)⁵.

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Re-Attempt Weekly Quiz Competition

Exponents and Powers Test - 11

Result

Exponents and Powers Test - 11

Score

-

Rank

-

SHARING IS CARING

Question 1

33

22

11

44

Solution

Question 2

3

2

1

0

Solution

Question 3

175

25

125

75

Solution

Question 4

9

10

11

13

Solution

Question 5

(9)5

(9)−5

(−9)5

(−9)−5

Solution

User

Question Analysis

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Score

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Rank

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(9)⁵

(9)⁻⁵

(−9)⁵

(−9)⁻⁵