Addition of exponent
Introduction :
In math, the exponent is a superscript value of number. The superscript value of number is placed on right position of the number. The exponent value is indicating how many times the number should be multiplied by itself. The base number is raised based on exponent. We can also refer the exponents as index or power in math. The representation of exponent is an. Where ‘n’ is the exponent and ‘a’ is the base number. The exponent value is small and positive integer. We can perform the addition operation on exponent. The addition operation is a function and it combines the numbers and gives the total value. In exponents, the addition is performed with some rules and it is adding the exponent value of base numbers.
Addition of exponent
Rules for exponents addition:
The addition operation is basic function and it is performed in exponents as same as normal addition. Rule for exponent addition is add the base based on exponents. If the exponents of number different and base numbers are same means just add the base numbers. For example, add the exponent numbers a2 x a3 as a2+3 = a5.
Another possible is adding the raised value. For example, add the exponent a2 x b2 as a x a + b x b. But it is not equal (an x am ≠ an+m) . So we doesn't use this rule.
Example problems for addition of exponents:
Example 1: Find out the result of Adding Exponents 23 x 25.
Solution:
Step 1:
Given exponent value is 23 x 25.
Step 2:
We are adding the exponents 3 and 5 directly because the base numbers are same that is 2.
23 x 25 = 23+5 = 28
Step 3:
The addition of exponent is 28.
Example 2:
To prove 31 + 34 `!=` 31+4
Solution:
Step 1:
Given exponent values is 31 + 34.
Step 2:
We can add the exponents because the base number is equal.
First we are expanding the base numbers based on exponent.
Expansion of first base number is 31 = 3.
Step 3:
Expansion of second base number is 34 = 3 x 3 x 3 x 3 = 81.
Step 4:
Addition of exponent value is 31 + 34 = 3 + 81 = 84
Step 5:
We can combine the exponent of base number as 31+4 = 35 = 3 x 3 x 3 x 3 x 3 = 243.
Step 6:
Thus, 84 ≠ 243
31 + 34 ≠ 31+4 proved.
Practice problems for exponent
Perform the addition operation on given exponents:
1. 46 x 43
2. 73 x 74
Solution:
1. 49
2. 77
In math, the exponent is a superscript value of number. The superscript value of number is placed on right position of the number. The exponent value is indicating how many times the number should be multiplied by itself. The base number is raised based on exponent. We can also refer the exponents as index or power in math. The representation of exponent is an. Where ‘n’ is the exponent and ‘a’ is the base number. The exponent value is small and positive integer. We can perform the addition operation on exponent. The addition operation is a function and it combines the numbers and gives the total value. In exponents, the addition is performed with some rules and it is adding the exponent value of base numbers.
Addition of exponent
Rules for exponents addition:
The addition operation is basic function and it is performed in exponents as same as normal addition. Rule for exponent addition is add the base based on exponents. If the exponents of number different and base numbers are same means just add the base numbers. For example, add the exponent numbers a2 x a3 as a2+3 = a5.
Another possible is adding the raised value. For example, add the exponent a2 x b2 as a x a + b x b. But it is not equal (an x am ≠ an+m) . So we doesn't use this rule.
Example problems for addition of exponents:
Example 1: Find out the result of Adding Exponents 23 x 25.
Solution:
Step 1:
Given exponent value is 23 x 25.
Step 2:
We are adding the exponents 3 and 5 directly because the base numbers are same that is 2.
23 x 25 = 23+5 = 28
Step 3:
The addition of exponent is 28.
Example 2:
To prove 31 + 34 `!=` 31+4
Solution:
Step 1:
Given exponent values is 31 + 34.
Step 2:
We can add the exponents because the base number is equal.
First we are expanding the base numbers based on exponent.
Expansion of first base number is 31 = 3.
Step 3:
Expansion of second base number is 34 = 3 x 3 x 3 x 3 = 81.
Step 4:
Addition of exponent value is 31 + 34 = 3 + 81 = 84
Step 5:
We can combine the exponent of base number as 31+4 = 35 = 3 x 3 x 3 x 3 x 3 = 243.
Step 6:
Thus, 84 ≠ 243
31 + 34 ≠ 31+4 proved.
Practice problems for exponent
Perform the addition operation on given exponents:
1. 46 x 43
2. 73 x 74
Solution:
1. 49
2. 77