Which expression is equivalent to 9x^5 y^16 / 45x^5y^4? a) y^12 / 5 b) y^12 / 36 c) xy^4 / 5 d) xy^4 / 36

Option A is correct, i.e. y¹² /5

Step-by-step explanation:

Given the expression is (9x^5 y^16) / (45x^5y^4)

(9 x⁵ y¹⁶) / (45 x⁵ y⁴) = (9/45) * (x⁵ x⁻⁵) * (y¹⁶ y⁻⁴)

(9 x⁵ y¹⁶) / (45 x⁵ y⁴) = (1/5) * (x⁵⁻⁵) * (y¹⁶⁻⁴)

(9 x⁵ y¹⁶) / (45 x⁵ y⁴) = (1/5) * (x⁰) * (y¹²)

(9 x⁵ y¹⁶) / (45 x⁵ y⁴) = (1/5) * (1) * (y¹²)

(9 x⁵ y¹⁶) / (45 x⁵ y⁴) = y¹² /5

Hence, option A is correct, i.e. y¹² /5

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

16.80 times .20= 3.36

step-by-step explanation: