Discussion
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- Question
- If 3x - 3x-1 = 18, then xx is equal to
Options- A. 3
- B. 8
- C. 27
- D. 216
- Correct Answer
- 27
Explanation? 3x - 3x - 1 = 18
? 3x - 1(3 - 1) = 18
? 3x - 1(2) = 18
? 3x - 1 = 18/2
? 3x - 1 = 9
? 3x - 1 = 32
Apply the Algebra law,
If aX = aY then X will be equal to Y.
means X = Y;
? x - 1 = 2
? x = 3
Then xx = (3)3 = 27 - 1. ? x6 ÷ ? x12 × x - 3 × ? x9 is equivalent to :
Options- A. 2x
- B. 1
- C. 1 3x2
- D. 1 x Discuss
- 2.
[(3 -2) -5] 1/5 + [ (4 -3) -6] 1/6 - 1 is equivalent to : [ ( 2-3 )-4 ]1/4
Options- A. 9
- B. 8
- C. 27
- D. 1 3 Discuss
- 3. [(2a2)3]3 [(3a3)2]2 ÷ [(6a6)2]2 is equivalent to :
Options- A. 36a6
- B. 32 a6
- C. 32 a4
- D. 34 a5 Discuss
- 4. (16)?3/4 + 2?3 + (8)?2/3 is equivalent to :
Options- A. 1 2
- B. 3 2
- C. 9 2
- D. 5 4 Discuss
- 5. The value of 6a3 b3 c2 ÷ 2ab2 c is :
Options- A. 3a 2 bc
- B. 3a b 2 c
- C. 3a 2 b 2 c 2
- D. 3a 3 b3 c3 Discuss
- 6. If a2x + 2 = 1,where a is a positive real number other than 1, then x =?
Options- A. - 2
- B. - 1
- C. 0
- D. 1 Discuss
- 7. Value of ? in expression
78.9 ÷ (343)1.7 x (49)4.8 = 7? is
Options- A. 13.4
- B. 12.8
- C. 11.4
- D. 9.6 Discuss
- 8. If ?10 + ? x = 4, then what is the value of x?
Options- A. 150
- B. 216
- C. 316
- D. 450 Discuss
- 9. If {(24)1/2}? = 256, find the value of '?'.
Options- A. 1
- B. 2
- C. 4
- D. 8 Discuss
- 10. Evaluate ( 0.00032)2/5
Options- A. 1/625
- B. 1/225
- C. 1/125
- D. 1/25 Discuss
Surds and Indices problems
Search Results
Correct Answer: 1
Explanation:
Correct Answer: 9
Explanation:
Correct Answer: 32 a6
Explanation:
Correct Answer: 1 2
Explanation:
Correct Answer: 3a b 2 c
Explanation:
Correct Answer: - 1
Explanation:
Given that, a2x + 2 = 1
Apply the algebra Law,
p0 = 1
? a2x + 2 = a0
Apply the algebra law
pX = pY then X will be equal to Y. means X = Y;
? 2x + 2 = 0
? x = -2/2 = -1
Correct Answer: 13.4
Explanation:
78.9 ÷ (343)1.7 x (49)4.8 = 7?
Apply the law of Fractional Exponents and Laws of Exponents
(am)(an) = am+n
am÷an=am?n
am/an=am?n
(am)n = amn
78.9 ÷ (343)1.7 x (49)4.8 = 7?
? 78.9 ÷ (73)1.7 x (72)4.8 = 7?
? 78.9 ÷ 75.1 x 79.6 = 7?
? 78.9 - 5.1 + 9.6 = 7?
? 718.5 - 5.1 = 7?
? ? = 13.4
Correct Answer: 216
Explanation:
Given, ?10 + ? x = 4
On squaring both sides, we get
10 + ?x = 16
? ?x = 6
Now, cubic on both sides, we get
x = (6)3 = 216
Correct Answer: 4
Explanation:
Given that, (24x 1/2)? = 256
Apply the law of Fractional Exponents and Laws of Exponents
? (22)? = 28
? 22 x ? = 28
? 2 x ? = 8
? ? = 8/2 = 4
Correct Answer: 1/25
Explanation:
Given that
(0.00032)2/5 = (32/100000)2/5
Solve the equation by algebra Law
= (25/105)2/5
= {(2/10)5}2/5
= (2/10)5x2/5
= (1/5)2 = 1/25
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