Question

Solve the math problem

Answer 1

Answer:

$\frac{4w {}^{8} }{9m {}^{4} }$

Step-by-step explanation:

separate with like terms

$\frac{4}{9} , \: \frac{w {}^{9} }{w} \: and \: \: \frac{m {}^{5} }{m {}^{9} }$

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

${m}^{ - 4} = \frac{1}{m {}^{4} }$

putting it together:

$\frac{4w {}^{8} }{9m {}^{4} }$