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##### What is negative exponent...? ____________________________________

##### Explanation

Negative expenent is the reciprocal of positive exponent.

```             n
Let we have x

-n                       n
Then x   is the reciprocal of x

n       1
i.e 1 × x  =  -------
-n
x
```

Its mean multiplication of x^n and its reciprocal x^-n is same as dividing x^n by x^n

```                   n
n     -n     x
i.e x  ×  x   = ------ ........(i)
n
x
```

Its mean multiplication of x^-n and its reciprocal x^n is same as dividing x^n by x^n

```                   n
-n     n     x
i.e x  ×  x   = ------........(ii)
n
x

From (i) & (ii)
n
-n     n    n     -n      x
x  ×  x   = x  ×  x   = ------
n
x
```

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##### SHORTCUT TRICKS (Division)
• Divisible by 2 Shortcut trick
• Divisible by 3 Shortcut trick
• Divisible by 4 Shortcut trick
• Divisible by 5 Shortcut trick
• Divisible by 6 Shortcut trick • Divisible by 7 Shortcut trick • Divisible by 8 Shortcut trick • Divisible by 9 Shortcut trick
• Divisible by 10 Shortcut trick

##### Worksheets (Solved)

###### Integration     