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If m and n are two natural numbers and mⁿ = 32, then nᵐⁿ is
We are given that m and n are two natural numbers, and mⁿ = 32 We need to find the value of nᵐⁿ. Step 1: Find Possible Value of m and n Since 32 and 2⁵, we look for natural numbers m and n such that: mⁿ = 32 Possible values are: m = 2, n = 5( since 2⁵ = 32) Step 2: Compute nᵐⁿ We substitute n = 5Read more
We are given that m and n are two natural numbers, and mⁿ = 32
We need to find the value of nᵐⁿ.
Step 1: Find Possible Value of m and n
Since 32 and 2⁵, we look for natural numbers m and n such that: mⁿ = 32
Possible values are:
m = 2, n = 5( since 2⁵ = 32)
Step 2: Compute nᵐⁿ
We substitute n = 5 and mⁿ = 32:
nᵐⁿ = 5³²
Step 3: Identify the correct option
None of the options match 5³² directly.
Please verify if there was a misinterpretation in the problem statement or options. If you meant nᵐ*ⁿ instead of nᵐⁿ , let’s check:
nᵐ*ⁿ = 5²×⁵ = 5¹⁰
This matches option (c) 5¹⁰.
This question related to Chapter 1 Mathematics Class 9th NCERT. From the Chapter 1 Number System. Give answer according to your understanding.
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A rational number between 3/5 and 4/5 is:
We need to find a rational number between 3/5 and 4/5 fom the given options. Step 1: Convert to Decimal Form 3/5 = 0.6 4/5 = 0.8 Now, we check which given options lie in the range (0.6, 0.8). Step 2: Convert the Options to Decimal Form (a). 7/5 = 1.4 (Not between 0.6 and 0.8) (b). 7/10 = 0.7 (BetwRead more
We need to find a rational number between 3/5 and 4/5 fom the given options.
Step 1: Convert to Decimal Form
3/5 = 0.6
4/5 = 0.8
Now, we check which given options lie in the range (0.6, 0.8).
Step 2: Convert the Options to Decimal Form
(a). 7/5 = 1.4 (Not between 0.6 and 0.8)
(b). 7/10 = 0.7 (Between 0.6 and 0.8)
(c). 3/10 = 0.3 (Less than 0.6)
(d). 4/10 = 0.4 ( Less than 0.6)
Conclusion: The only rational number between 3/5 and 4/5 is 7/10 (option b).
This question related to Chapter 1 Mathematics Class 9th NCERT. From the Chapter 1 Number System. Give answer according to your understanding.
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A rational number between 3 and 4 is:
To find a rational number between 3 and 4, we need to check which of the given options lies in the interval (3,4)(3,4)(3,4). Checking each option: (a). 3/2 =1.5, 1.5 is less than 3, so it is not between 3 and 4. (b). 4/3 ≈ 1.33, 1.33 is also less than 3, so it is not between 3 and 4. (c). 7/2 = 3.5,Read more
To find a rational number between 3 and 4, we need to check which of the given options lies in the interval (3,4)(3,4)(3,4).
Checking each option:
(a). 3/2 =1.5, 1.5 is less than 3, so it is not between 3 and 4.
(b). 4/3 ≈ 1.33, 1.33 is also less than 3, so it is not between 3 and 4.
(c). 7/2 = 3.5, 3.5 is between 3 and 4, so this is a valid option.
(d). 7/4 = 1.75, 1.75 is less than 3, so it is not between 3 and 4.
Conclusion:
The only rational number in the given options that lies between 3 and 4 is 7/2 (option c).
This question related to Chapter 1 Mathematics Class 9th NCERT. From the Chapter 1 Number System. Give answer according to your understanding.
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See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
Rational number 3/40 is equal to:
We are given the rational number: 3/40 We need to convert it into decimal form and determine the correct answer from the given options. Step 1: Convert the Fraction to Decimal To convert 3/40 into a decimal, we divide 3 by 40: 3 ÷ 40 Performing the division: 3.000 (Adding decimal point and zeros toRead more
We are given the rational number: 3/40
We need to convert it into decimal form and determine the correct answer from the given options.
Step 1: Convert the Fraction to Decimal
To convert 3/40 into a decimal, we divide 3 by 40: 3 ÷ 40
Performing the division:
3.000 (Adding decimal point and zeros to divide properly)
40 goes into 30 0 times. (So, we consider 300)
40 goes into 300 7 times (since 40 × 7 = 280)Remainder: 300 – 280 = 20
Bring down a 0 (making it 200)
40 goes into 200 5 times (since 40 × 5 = 200)Remainder: 0 (Division is complete)
Thus, 3/40 = 0.075
Step 2: Compare with Given Options
The given options are:
(a) 0.75
(b) 0.12
(c) 0.012
(d) 0.075
Since we found that 3/40 = 0.075, the correct answer is: (d) 0.075
This question related to Chapter 1 Mathematics Class 9th NCERT. From the Chapter 1 Number System. Give answer according to your understanding.
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Electric field lines contract lengthwise. It shows
Electric field lines contract lengthwise, indicating attraction between opposite charges. This contraction represents the tendency of unlike charges to pull toward each other, minimizing potential energy. It visually demonstrates the force between opposite charges, reinforcing the fundamental princiRead more
Electric field lines contract lengthwise, indicating attraction between opposite charges. This contraction represents the tendency of unlike charges to pull toward each other, minimizing potential energy. It visually demonstrates the force between opposite charges, reinforcing the fundamental principle of electrostatic attraction, where positive and negative charges experience mutual force drawing them together, shaping the electric field accordingly.
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See lesshttps://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-1/