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11 Plus Powers and roots

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Powers :

If any number is represented in the form of ab, then a is called exponent and b is called power.

ab = a raised to power b = a x a x a - - - - - b times i.e., a is written b times.

let us understand with one example,

4 x 4 x 4 x 4 x 4 x 4 = 46

37 = 3 x 3 x 3 x 3 x 3 x 3 x 3 = 2187

* a0 = 1

The root of a number :

The root of a number 'a' is a number, which, when multiplied by itself a given number of times, equals x.

Let us understand with examples,

The square root of 9 is 3 because '3' is multiplied twice the product is 9.

3 x 3 = 9

The square root of 9 is represented by

The cube root of 8 is 2 because '2' is multiplied thrice the product is 8.

2 x 2 x 2 = 8

The cube root of 8 is represented by

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