Answer:
[tex] \frac{4w {}^{8} }{9m {}^{4} } [/tex]
Step-by-step explanation:
separate with like terms
[tex] \frac{4}{9} , \: \frac{w {}^{9} }{w} \: and \: \: \frac{m {}^{5} }{m {}^{9} } [/tex]
the first fraction can be left alone as it can't be simplified any further
the second fraction can be written as w⁹ ÷ w¹ , when the bases are the same and division is involved subtract the powers: 9 - 1 = 8, so it's simplified to w⁸
the third fraction can be written as m⁵ ÷ m⁹, subtract the powers: 5 - 9 = -4, so it's simplified to m⁻⁴
[tex] {m}^{ - 4} = \frac{1}{m {}^{4} } [/tex]
putting it together:
[tex] \frac{4w {}^{8} }{9m {}^{4} } [/tex]
