25 w to the sixth power over 10 w to the third power divided by 30 w squared over 5 w.
25w⁶ / 10w³ ÷ 30w² / 5w
Get the reciprocal of the 2nd fraction and multiply it with the 1st fraction
25w⁶ / 10w³ * 5w / 30w² → 25w⁶ * 5w / 10w³ * 30w² = 125w⁷ / 300w⁵
*When you multiply exponents with the same base, you simply add them.
w⁶ * w = w⁶⁺¹ = w⁷
w³ * w² = w³⁺² = w⁵
Cancel out w⁵
125w⁷ / 300w5 = 125w² / 300
Simplify the constant:
125 / 25 = 5
300 / 25 = 12
5w² / 12 is the simplified form of the given equation.