You will need

- Paper, pen.

Instruction

1

In General, the

The expression a^n is called

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

**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 of**u,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

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

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

1) First calculate the fraction 1/2 = 0,5; and then to build in

ie 0,5^3 = 0,5*0,5*0,5 = 0,125

2) First build in the denominator

**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

a^(-1) = (1/a)^1 = 1/(a^1) = 1/a

For example, let's build the number 5 to -1

5^(-1) = (1/5)^1 = 1/(5^1) = 1/5 = 0,2.

**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

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

Note

When raising a number to a negative exponent, it should be remembered that the number can't be zero. According to the rule, we need to lower the number in the denominator. And zero cannot be the denominator, because zero cannot be split.

Useful advice

Sometimes when working with degrees for ease of calculation, the fractional number of specially replace the integer to -1 degree

1/6 = 6^(-1)

1/52 = 52^(-1).

1/6 = 6^(-1)

1/52 = 52^(-1).