Home > Pre-Algebra calculators > Nth Power of a number example

3. Nth Power of a number example ( Enter your problem )
  1. Example-1
Other related methods
  1. Square of a number
  2. Cube of a number
  3. Nth Power of a number
  4. Square root by prime factorization method
  5. Cube root by prime factorization method
  6. Nth root by prime factorization method
  7. Square root by long division method
  8. Cube root by long division method
  9. Babylonian method for Square root
  10. Babylonian method for Cube root
  11. Find the smallest number which must be Added / Substracted / Multiplied / Divided to 180 to make it perfect Square / Cube
  12. Find Least number of 4 digits which is a perfect Square

2. Cube of a number
(Previous method)
4. Square root by prime factorization method
(Next method)

1. Example-1





1. Find 104

Solution:
First find factors of 10
210
55
 1


`10 = 2 × 5`

`10 = 2 * 5`

`(10)^4 = (2 * 5)^4` (Taking Power 4)

`= 2^4 * 5^4`

`= 10000` 2. Find 156

Solution:
Method-1 :
`(15)^6=15 xx 15 xx 15 xx 15 xx 15 xx 15=11390625`



Method-2 :
First find factors of 15
315
55
 1



`15=3 xx 5`

`15=3 * 5`

Taking Power 6
`(15)^6 = (3 * 5)^6`

`=3^6 * 5^6`

`=11390625`




This material is intended as a summary. Use your textbook for detail explanation.
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2. Cube of a number
(Previous method)
4. Square root by prime factorization method
(Next method)





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