Question

Choose the correct simplification of the quantity of x to the 7th power over y to the 9th power all raised to the 2nd power.

x to the 14th power over y to the 18th power
x to the 9th power over y to the 11th power
x to the 5th power over y to the 7th power
x14y18

Answer 1

x to the 14th power over y to the 18th power is ur answer

Answer 2

Option 1 - x to the 14th power over y to the 18th power

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.,
`x^7` .....(1)

Then the quantity y to the 9th power i.e.,
`y^9` .....(2)

According to question,

Equation 1 is over equation 2,

i.e.,
`(x^7)/(y^9)`

And The resultant raised to the 2nd power.

i.e.,
`((x^7)/(y^9))^2`

Simplify it by taking power inside,
`(x^a)^b=x^(a* b)`

`(x^(7* 2))/(y^(9*2))`

`(x^(14))/(y^(18))`

Which means x to the 14th power over y to the 18th power.

Therefore, Option 1 is correct.