## Learn online laws of exponents

**Introduction exponents:-**

what are exponents

Exponent is a math function symbolized by` a^n` ,

- a is the base.
- n is the exponent.

Now let us see the laws of exponents.

Laws of Exponents:-

The following law of exponents.

**Law 1**am * an = a(m+n)**Law 2**( am)n = amn**Law 3**(ab)m = am bm**Law 4**`a^m/ a^n` = am-n**Law 5**a0 = 1.**Law 6**a1 =a

Learn online laws of exponents

Online lend a hand to study at that moment each time when ever you need assist in some subjects. Online has been recognized one of the main source for students to get help related to their subjects.

Now lets see the solved Problems that helps you to understand this topic more clearly.

Solved Problems:-

**Learn Online Problem : 1**Solve and Find the product of these two exponents25 3 and.25 1

**Solution:**We need to simplify the exponents 25 3 and.25 1

Here the exponents are in the form of law1

am * an = a(m + n)

Here a =25, m= 3, n= 1.

By applying it in the law we get

= 25 (1+3)

= 25 4 = 25*25*25*25

= 625 * 625

Exponent value 214 = 390625

**Solve and find the value of exponents ( 8 3)4**

**Learn Online Problem**: 2**Solution:**We need to simplify the exponents ( 8 3)4

Here the exponents are in the form of law 2

(am)n = am*n

By comparing (am)n and ( 8 3)4.

The value of a= 8, m= 3, n= 4

By applying it in the formula we get

=8(3*4) = 812 = 8*8*8*8*8*8*8*8*8*8*8*8

=68719476736.

**Solve and find the find the value of exponents {(2).(5)}3**

**Learn Online Problem**: 3**Solution:**We need to simplify the exponents {(2).(5)}3

Here the exponents are in the form of law 3

(a * b)m = am bm

By comparing (a * b)m and {(2).(5)}3

Here a = 2, b= 5 and m= 3

By applying it in the rule we get

= 2 3.53

=4*25

=100

**Solve and find value of the exponents` (11^3 ) / (11^2)`**

**Learn Online Problem**: 4**Solution:**We need to simplify the exponents ` (11^3 ) / (11^2)`

Here the exponents are in the form of law 4

`a^m/ a^n` = am-n

By comparing `"a^m/b^n ` and ` (11^3 ) / (11^2)`

Here a = 11, m = 3, n= 2.

By applying it in the formula we get the

= 113-2

=11 1

=11.

**: 5Solve and find value of the exponents `3^5/ 3^5`**

**Learn Online Problem****Solution:**We need to simplify the exponents `3^5/ 3^5`

Here the exponents are in the form of law 4

`a^m/ a^n` = am-n

By comparing `"a^m/a^n` and `3^5/ 3^5`

Here a = 3, m = 5, n= 5.

By applying it in the formula we get the

`3^5/ 3^5` = 35-5

=3 0

Now as per the law 5 the value as `a^0 ` is 1

So `3^0 ` is 1.

The answer for the given exponent is 1