Powers with Negative Exponents
Answer the below quiz questions.
As the exponent decreases by 1, the value becomes
With the above knowledge let's find the value of
What is
Let's see if the same thing works for base 3 instead of 10.
Let us see for the negative powers.
We say, 3 − 1
And 3 − 2 1 3 1 3 x3
In general, we can say that for any non-zero integer a:
where m is a positive integer.
Try these.
Match the below exponents
2^(–2)
10^(–5)
7^(–2)
5^(–3)
10^(-100)
1/5^3
1/2^2
1/10^100
1/7^2
1/10^5
TRY THESE
Expand the following numbers using exponents.
We learnt how to write numbers like 1425 in expanded form using exponents as
1425 = 1 x
1425 = 1 ×
Let us see how to express 1425.36 in expanded form in a similar way.
1425.36 = 1 ×
1 ×
Try these
We learnt how to write numbers like 1025.63 in expanded form using exponents as
(i) 1025.63 = 1 ×
(ii) 1256.249 = 1 ×