Question

7. Simplify √((p^(-6)×q^10×r^12)/(p^14×q^18 ))

A. r^6/(p^10× q^4 )
B. p3qr-3
C. p3q7 r-3
D. p4q5r-3
Pls include working

Answer 1

The correct option is D. p^4 q ^5 r^ −3

Explanation:

1- Combine the variables with the same bases inside the square root:

2-Simplify further by removing the square root

3-Separate the square roots:

4-Simplify each square root

So, the simplified expression is

p^4*r^3/q^4

Answer 2

A. r^6/(p^10× q^4 )

Explanation:

√((p^(-6)×q^10×r^12)/(p^14×q^18 ))

= √(p^(-6-14)×q^(10-18)×r^12)

= √(p^(-20)×q^(-8)×r^12)

= r^6/(p^10×q^4)

I hope this helps!