Powers of literal numbers are the repeated product of a number with itself is written in the exponential form.
For Example:
Since a literal number represent a number.
Therefore, the repeated product of a number with itself in the exponential form is also applicable to literals.
Thus, if a is a literal, then we write
It is very clear from the above discussion that the exponent in a power
of a literal indicates the number of times the literal exponent has been
multiplied by itself.
Thus, we have
These are the examples of powers of literal numbers.
Step I: Take any variable, say 'a'.
Step II: Multiple the variable two times or three times
i.e., m × m is written as m^{2} (called 'm squared')
or m × m × m = m^{3} (called 'm cubed').
Step III: In m^{5} m is the base and 5 is the exponent.
NOTE:
1. Instead of writing a^{1} write a only.
2. The product of a and b can be written as a × b or ab.
Solved Examples on Powers of Literal Numbers:
1. Find out the base and exponent of the following:
(i) p^{2}
(ii) t^{7}
(iii) 5^{4}
Solution:
(i) ln p^{2}, p is the base and 2 is the exponent.
(ii) In t^{7}, t is the base and 7 is the exponent.
(iii) In 5^{3}, 5 is the base and 4 is the exponent.
Properties of Multiplication of Literals
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● Literal Numbers - Worksheets
Worksheet on Addition of Literals
Worksheet on Subtraction of Literals
Worksheet on Multiplication of Literals
Worksheet on Division of Literals
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