Respuesta :
Answer:
Option 1 - x to the 14th power over y to the 18th power
Step-by-step explanation:
Given : The quantity of x to the 7th power over y to the 9th power all raised to the 2nd power.
To find : Choose the correct simplification of the quantity?
Solution :
The quantity of x to the 7th power i.e., [tex]x^7[/tex] .....(1)
Then the quantity y to the 9th power i.e., [tex]y^9[/tex] .....(2)
According to question,
Equation 1 is over equation 2,
i.e., [tex]\frac{x^7}{y^9}[/tex]
And The resultant raised to the 2nd power.
i.e., [tex](\frac{x^7}{y^9})^2[/tex]
Simplify it by taking power inside, [tex](x^a)^b=x^{a\times b}[/tex]
[tex]\frac{x^{7\times 2}}{y^{9\times2}}[/tex]
[tex]\frac{x^{14}}{y^{18}}[/tex]
Which means x to the 14th power over y to the 18th power.
Therefore, Option 1 is correct.
