The following exponents can be simplified as follows:
- [tex]7^1=7[/tex]
- [tex]4^0=1[/tex]
- [tex]6^-1=1/6[/tex]
What are exponents?
The exponent of a number says how many times to use the number in a multiplication.
For example: 8 to the Power 2( or 8^2)
In 8^2 the "2" says to use 8 twice in a multiplication,
so 8^2 = 8 × 8 = 64
In words: 8^2 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared".
So coming to the question:
a) 7^1 = 7 times 1 from definition that 7*1=7
b)To prove this one, I will go with the property of exponents:
[tex]a^{(b-c)}=\dfrac{a^b}{a^c}[/tex]
implies:
[tex]4^0=4^{(2-2)}=\dfrac{4^2}{4^2} =1[/tex]
c)Applying the previous property:
[tex]6^{-1}=6^{0-1}=\dfrac{6^0}{6^1}=\dfrac{1}{6}[/tex]
Therefore, with the help of definitions and property of exponent, we can simplify it.
To know more about properties of exponent refer to:
https://brainly.com/question/3187898
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