Simplifying a fraction with a cubed root in the denominatorI have an equation the following equation in my textbook, but I don't understand how it's legal for it to be simplified this way. 1000 π 500 π 3 2 = 2 500 π 3 I know that an equivalent equation is 1000 π 500 π 2 / 3 = 1000 π ( 500 π ) 1 / 3 ( 500 π ) 1 / 3 Looking at it I can see where things might cancel, like in one of the 500 π 1 / 3 , the 500 could go into 1000 twice, and cancel out the π in the denominator, but as far as I can remember that's not allowed.Why is this okay?

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Simplifying a fraction with a cubed root in the denominatorI have an equation the following equation in my textbook, but I don&#039;t understand how it&#039;s legal for it to be simplified this way.            1000              π                                            500              π                        3                    2                      =  2            500      π        3  I know that an equivalent equation is            1000              π                                            500              π                                            2                          /                        3                                =            1000              π        (                              500            π                                    )                      1                          /                        3                          (                              500            π                                    )                      1                          /                        3                              Looking at it I can see where things might cancel, like in one of the                     500        π                    1              /            3      , the 500 could go into 1000 twice, and cancel out the   π in the denominator, but as far as I can remember that&#039;s not allowed.Why is this okay?

Odin Jacobson · Accepted Answer

Hint:multiply numerator and denominator for:                    500        π              3

Alannah Short · Accepted Answer

Rewrite:      1000          π                                    500            π                    3                2              =      1000    π    ×            (              500        π            )              −      2              /            3      And note:      1000    π    =  2            (              500        π            )              3              /            3

Simplifying a fraction with a cubed root in the denominator I have an equation the following equati

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