Answer:
7p¹⁵/ 3q¹²
Step-by-step explanation:
From the question given above,
28p⁹q¯⁵ / 12p¯⁶q⁷
To know which of option is equivalent to the above expression, we shall simplify the expression as shown below:
28p⁹q¯⁵ / 12p¯⁶q⁷
28p⁹q¯⁵ ÷ 12p¯⁶q⁷
Recall:
Xᵐ ÷ Xⁿ = Xᵐ ¯ ⁿ
Therefore,
28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (28/12)p⁹ ¯ ¯⁶q¯⁵ ¯⁷
28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (7/3) p⁹⁺⁶q¯¹²
28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (7/3) p¹⁵q¯¹²
Recall:
X¯ⁿ = 1/Xⁿ
Therefore,
(7/3) p¹⁵q¯¹² = (7/3) p¹⁵ × 1/q¹²
(7/3) p¹⁵q¯¹² = 7p¹⁵/ 3q¹²
Hence,
28p⁹q¯⁵ / 12p¯⁶q⁷ = 7p¹⁵/ 3q¹²
