Answer :
Answer:
option A and D
Step-by-step explanation:
the given expression is [tex]6^{-3}[/tex]
To remove negative sign from exponent we apply a property
[tex]a^{-m} = \frac{1}{a^m}[/tex]
[tex]6^{-3} = \frac{1}{6^3}[/tex]
6^3 = 6*6*6= 216
So [tex]6^{-3} = \frac{1}{6^3}= \frac{1}{216}[/tex]
two options are correct
[tex]\frac{1}{6^3} and \frac{1}{216}[/tex]
The expression 6^(-3) is equivalent to 1/6^3, and 1/216 after applying mathematical rules of exponent option first and option fourth is correct.
What is exponential notation?
It is defined as the representation of the power of numbers in a composite way such that if the a to the power b so we can write
We have an expression:
[tex]=6^-^3[/tex]
We know:
[tex]\rm a^b = a\times a \times a .....upto \ b \ times[/tex] and
[tex]\rm a^-^b = \frac{1}{a^b}[/tex]
Applying the above mathematical rule:
[tex]=\frac{1}{6^3}[/tex]
[tex]\rm = \frac{1}{6\times6\times6}[/tex]
= 1/216
Thus, the expression 6^(-3) is equivalent to 1/6^3, and 1/216 after applying mathematical rules of exponent option first and option fourth is correct.
Learn more about the exponential notation here:
https://brainly.com/question/1810591
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