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19.05.2021 •
Mathematics
Which is the simplified form of n⁻⁶ p³?
A. StartFraction n Superscript 6 Over p cubed EndFraction
B. StartFraction 1 Over n Superscript 6 Baseline p cubed EndFraction
C. StartFraction p cubed Over n Superscript 6 EndFraction
D. n Superscript 6 Baseline p cubed
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Ответ:
figure this out yourself LOSER
Step-by-step explanation:
Ответ:
Third option. \frac{p^3}{n^{6}}
n
6
p
3
Step-by-step explanation:
For this exercise you need to remember one of the properties for exponents.
There is a property called the "Negative property of exponents" which states the following:
b^{-n}=\frac{1}{b^n}b
−n
=
b
n
1
Where b \neq0b
=0
As you can observe, b^nb
n
is the reciprocal of b^{-n}b
−n
In this case you have the following expression given in the exercise:
n^{-6}p^3n
−6
p
3
Observe the expression. As you can notice, the base "n" has a negative exponent, which is -6.
Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.
Then, the simplified form of n^{-6p^3}n
−6p
3
is the one shown below:
n^{-6}p^3=\frac{p^3}{n^{6}}n
−6
p
3
=
n
6
p
3
Ответ: