How do you find the product of #(5c^3d)/(c^4d)*(f^2d^3c)/(10cf^4)#?

1 Answer
EZ as pi
Mar 4, 2018

#= (5d^3)/(2cf^2)#

Explanation:

This is all one big term with number and variable factors.

  • Cancel the numbers #(cancel5c^3d)/(c^4d) xx (f^2d^3c)/(cancel10^2cf^4)#

  • Multiply the numerators and multiply the denominators by adding the indices of like bases to give one fraction:

#= (5c^4d^4f^2)/(2c^5df^4)#

  • Divide by subtracting the indices of like bases so that the indices are left positive. (Big - small)

#= (5d^3)/(2cf^2)#

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