Math 10: Week 8 – What are Negative Exponents

the exponent of a number tells us how many times we should multiply the base.

For example, 82, 8 is the base, and 2 is the exponent.

We know that 82 = 8 × 8.

A negative exponent tells us, how many times we have to multiply the reciprocal of the base.

Consider the 8-2, here, the base is 8 and we have a negative exponent (-2).

8-2 is expressed as 1/8= 1/8×1/8.


MORE NEGATIVE EXPONENT EXAMPLES –

5-4= 1/54

x-6= 1/x6

1/y-5= y5

b-6/d-5 = d5/b6

8-9= 1/89

40-4= 1/404

2250-2= 1/22502