Question

Solve the math problem

Answer 1

`\frac{4w {}^(8) }{9m {}^(4) }`

Explanation:

separate with like terms

`(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) }`