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.

Answer 1

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

Answer 2

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., $x^7$  .....(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.,  $\frac{x^7}{y^9}$

And The resultant raised to the 2nd power.

i.e., $(\frac{x^7}{y^9})^2$

Simplify it by taking power inside, $(x^a)^b=x^{a\times b}$

$\frac{x^{7\times 2}}{y^{9\times2}}$

$\frac{x^{14}}{y^{18}}$

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

Therefore, Option 1 is correct.