**Integer Exponents Calculator**

Exponent is a math operation represented by 2 numbers an, where a is the base and n is the exponent. The exponent value denotes the number of times the base is folded into, it is part of algebra and they have certain properties, which enables us to simplify the given set of equations. The properties can also be said as some rules, and they are as follows,

- a
^{m}* a^{n }= a^{(m+n)} - ( a
^{m})^{n}= a^{mn} - (ab)
^{m}= a^{m}b^{m} - = a
^{m-n} ^{}

Herewe are going to learn about integers exponents and its operation.All the exponents operation performed by using the above property.

**Integer exponents calculator - Example problems:**

**Integer exponents calculator - Example: 1**

Solve the following exponentsâ€™ 2^{3} .2 ^{5 }2^{3}

**Solution:**

Here the integer 2 that is base is common so we have to use the first property.

a^{m} * a^{n }= a^{(m+n)}

Here a =2

= 2 ^{(3+5+3)}

= 2 ^{11Fraction to Percent}

Find the integer exponent value 2 ^{11 }= 2048

**Therefore the final answer is 2048.**

**Integer exponents calculator - ****Example: 2**

Solve the following integer exponent,

(4^{2})^{3. (}4^{3})^{3}

**Solution:**

Here the base number is 4 .we have to use the second property that is

( a^{m})^{n} = a^{mn}

The first and second term will be

=4 ^{(2*3) . }4 ^{(3*3)}

= 4 ^{6. }4 ^{9}

Here we have to use the first property we get,

= 4^{ (6+9)}

= 4 ^{15}

= 1073741824

**Therefore the final answer is 1073741824**

**Integer exponents calculator - More Examples**

Solve the following integer exponent,

( 3^{2} . 3^{4 }) / (3^{5}) .3 ^{6}

**Solution:**

Here the integer involved in fraction form so we have to use fourth property,

First we solve the (3 ^{2*4} ) / (3 ^{5}) . 3^{ 6 }

( 3 ^{8 }/ 3 ^{5 }) .3 ^{6}

`(a^m) / (a^n)` = a^{m-n}

Therefore 3^{ 8 -5 }. 3 ^{6}

=3 ^{3 }. 3 ^{6 }

=3 ^{(3*6)}

=3 ^{18}

=387420489

**Therefore the final answer is 387420489.**

**Integer exponents calculator - ****Example: 4**

Solving the following integer exponent

{(2).(3)}^{2 }

**Solution:**

Here we have use the third property

(ab)^{m} = a^{m} b^{m}

a = 2 and b="3

2 ^{3}.3^{3}

= 8*27

= 216

**The final answer is 216.**