Meaning of exponent
Introduction :
Let us learn about the exponent values in this article. Exponents are usually shown in the right superscript of the base value. It can be denoted like an, where as ‘a’ is the base value and n is the raised to the exponent value. It can be read as ‘a’ raised to the power of ‘n’. For example, a2 means multiply the ‘a’ value two times i.e., square of a.
Meaning of exponent
An exponent is a measure signifying the power to which some other measures are greater than before. Exponents make not include being numbers if not constants.
Consider the subsequent mathematical terms:
y = e x
Within the expression, x is the exponent of e.
3x6 + 10 x 4 - 9 x + 50 = 0
In the appearance, the numbers 6 and 4 are exponents of x.
x 10 + y 10 = z 10
In the above equation, the number 10 is an exponent of x, y, and z.
Large otherwise little quantities are specifying since powers of 10.
Let us consider the following large number:
997,500,000 = 9.975 x 108
Example
Consider 63 + 104
We can write the above problem within exponential method, that is
63 = 6 x 6 x 6 = 216
104 = 10 x 10 x10 x 10 =10000
63 + 104 = 10216
Therefore the answer is 10216.
Examples for meaning of exponent
Example 1 for meaning of exponent
Simplify 35 x 36 using exponential notation.
Solution
Both the factor is 3; consequently we get it as general
We can write the known problem within exponential method, that is
35 x 36 = 35+6
= 311
= 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
Thus the answer is = 177147
Example 2 for meaning of exponent
Simplify 25 + 66 + 72 using exponential notation.
Solution
We can write the specified problem within exponential method, that is
25 = 2 x 2 x 2 x 2 x 2= 32
66 = 6 x 6 x 6 x 6 x 6 = 466596
72 = 7 x 7 = 49
25 + 66 + 72 = 32 + 466596 + 49
24 + 65 + 73 = 466677
Thus the answer is 466677
Example 3 for meaning of exponent
Compute `6^12/6^8` using exponential notation.
Solution
We can write the known problem within exponential method, that is
`6^12/6^8` = 612-8
= 64
= 1296
Thus the answer is 1296.
Let us learn about the exponent values in this article. Exponents are usually shown in the right superscript of the base value. It can be denoted like an, where as ‘a’ is the base value and n is the raised to the exponent value. It can be read as ‘a’ raised to the power of ‘n’. For example, a2 means multiply the ‘a’ value two times i.e., square of a.
Meaning of exponent
An exponent is a measure signifying the power to which some other measures are greater than before. Exponents make not include being numbers if not constants.
Consider the subsequent mathematical terms:
y = e x
Within the expression, x is the exponent of e.
3x6 + 10 x 4 - 9 x + 50 = 0
In the appearance, the numbers 6 and 4 are exponents of x.
x 10 + y 10 = z 10
In the above equation, the number 10 is an exponent of x, y, and z.
Large otherwise little quantities are specifying since powers of 10.
Let us consider the following large number:
997,500,000 = 9.975 x 108
Example
Consider 63 + 104
We can write the above problem within exponential method, that is
63 = 6 x 6 x 6 = 216
104 = 10 x 10 x10 x 10 =10000
63 + 104 = 10216
Therefore the answer is 10216.
Examples for meaning of exponent
Example 1 for meaning of exponent
Simplify 35 x 36 using exponential notation.
Solution
Both the factor is 3; consequently we get it as general
We can write the known problem within exponential method, that is
35 x 36 = 35+6
= 311
= 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
Thus the answer is = 177147
Example 2 for meaning of exponent
Simplify 25 + 66 + 72 using exponential notation.
Solution
We can write the specified problem within exponential method, that is
25 = 2 x 2 x 2 x 2 x 2= 32
66 = 6 x 6 x 6 x 6 x 6 = 466596
72 = 7 x 7 = 49
25 + 66 + 72 = 32 + 466596 + 49
24 + 65 + 73 = 466677
Thus the answer is 466677
Example 3 for meaning of exponent
Compute `6^12/6^8` using exponential notation.
Solution
We can write the known problem within exponential method, that is
`6^12/6^8` = 612-8
= 64
= 1296
Thus the answer is 1296.