Mathematics, 13.01.2020 02:31 jatavispillow
Which expression is equivalent to the cube root of(75a^7b^4)/(40a^13c^9)
Answers: 3
![\sqrt [3] {\frac {75a ^ 7 * b ^ 4} {40a ^ {13} * c ^ 9}}](/tpl/images/0452/3551/94a17.png)
![\sqrt [3] {\frac {5 * (15a ^ 7 * b ^ 4)} {5 (8a ^ {13} * c ^ 9)}} =\\\sqrt [3] {\frac {15a ^ 7 * b ^ 4} {8a ^ {13} * c ^ 9}} =](/tpl/images/0452/3551/1fef8.png)
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}\\\frac {a ^ m} {a ^ n} = a ^ {m-n}](/tpl/images/0452/3551/14ac8.png)
![\sqrt [3] {\frac {15 * b ^ 4} {8a ^ 6 * c ^ 9}} =\\\sqrt [3] {\frac {b ^ 3 (15b)} {(2a ^ 2 * c ^ 3) ^ 3}} =\\\sqrt [3] {(\frac {b} {2a ^ 2 * c ^ 3}) ^ 3 * 15b} =](/tpl/images/0452/3551/fe060.png)
![\frac {b} {2a ^ 2 * c ^ 3} * \sqrt [3] {15b} =\\\frac {b * \sqrt [3] {15b}} {2a ^ 2 * c ^ 3}](/tpl/images/0452/3551/178aa.png)
![\frac {b * \sqrt [3] {15b}} {2a ^ 2 * c ^ 3}](/tpl/images/0452/3551/8cdcb.png)
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Which expression is equivalent to the cube root of(75a^7b^4)/(40a^13c^9)...
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