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

well there are two answers for that.

1: you need 120 ones then that will equal up to 120.

2: you could also do one 100 and 2 tens.

those are the answers that i have thought of.

answer: i think it is (1,-2)