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2 years ago

95

Mathematics

2 answers:

mart [117]2 years ago

7 0

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

iren [92.7K]2 years ago

7 0

Answer:

Step-by-step explanation:

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