Question

find the cube root of -2197 /9261
please give full solution

Answer 1

Answer:

$\frac{-13}{21}$

Step-by-step explanation:

$\sqrt[3]{\frac{-2197}{9261} }$

= $\sqrt[3]{\frac{(-13)*(-13)*(-13)}{3*3*3*7*7*7} }$

= $\sqrt [3] {\frac{(-13)^{3}} {(3)^{3}*(7)^{3}} }$

= $\sqrt [3] {\frac{(-13)^{3}} {(3*7)^{3}} }$

= $\sqrt [3] {\frac{(-13)^{3}} {(21)^{3}} }$

= $\sqrt [3] {[ \frac{-13} {21} ] ^{3} }$

= $\frac{-13}{21}$