Which expression is equivalent to StartFraction 28 p Superscript 9 Baseline q Superscript negative 5 Baseline Over 12 p Superscript negative 6 Baseline q Superscript 7 Baseline EndFraction? Assume p not-equals 0, q not-equals 0.

The expression that is equivalent to (28p^(9)•q^(-5))/(12p^(6)•q^(7)) is; 7p³/q^(12)

We want to find the fraction that is equivalent to;

(28p^(9)•q^(-5))/(12p^(6)•q^(7))

Applying laws of exponents we know that;

x⁴/x³ = x^(4 - 3)

Thus in our question;

(28p^(9)•q^(-5))/(12p^(6)•q^(7)) gives;

(28/12) × p^(9 - 6) × q^(-5 - 7)

>> (7/3) × p³ × q^(-12)

>> 7p³/q^(12)

Read more about rules of exponents at; link

Step-by-step explanation:

We want to determine which expression is equivalent to:

To simplify, we first let us separate the fraction in terms of the terms.

Next, we apply the division law of indices:

Therefore: