You will need
• Paper, pen.
Instruction
1
In General, the degree is written as a^n. This entry means that the number a multiplied by itself n times.
The expression a^n is called the degree ofu,
a is the number of base degree,
n is a number, the exponent. For example, a = 4, n = 5,
Then write 4^5 = 4*4*4*4*4 = 1 024
2
The degree n can be a negative number
n = -1, -2, -3, etc.
To compute the negative degree numbers must be omitted in the denominator.
a^(-n) = (1/a)^n = 1/a*1/a*1/a* ... *1/a = 1/(a^n)
Consider the example
2^(-3) = (1/2)^3 = 1/2*1/2*1/2 = 1/(2^3) = 1/8 = 0,125
3
As can be seen from the example, -3 the degree of the number 2 can be calculated in different ways.
1) First calculate the fraction 1/2 = 0,5; and then to build in a degree of 3,
ie 0,5^3 = 0,5*0,5*0,5 = 0,125
2) First build in the denominator degree 2^3 = 2*2*2 = 8, and then calculate the fraction 1/8 = 0,125.
4
Now compute -1 degree for the number, i.e., n = -1. The rules discussed above are suitable for this case.
a^(-1) = (1/a)^1 = 1/(a^1) = 1/a
For example, let's build the number 5 to -1 degree
5^(-1) = (1/5)^1 = 1/(5^1) = 1/5 = 0,2.
5
From the example clearly shows that the number -1 is the inverse fraction of the number.
Imagine the number 5 as a fraction 5/1, then 5^(-1) arithmetically not take it and immediately write the inverse of 5/1 is 1/5.So, 15^(-1) = 1/15,
6^(-1) = 1/6,
25^(-1) = 1/25