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A number $x$ equals $2^{15}\cdot3^6$. What number's cube equals $x$?

Guest Feb 6, 2021

Guest · Answer 1 · 2021-02-06T03:12:57

$\sqrt[3]{2^(15)* 3^6}$ = 2^15/3* 3^6/3= 2⁵* 3²

Alan · Answer 2 · 2021-02-06T03:13:54

$2^{15}\times3^6\rightarrow (2^5)^3 \times(3^2)^3\rightarrow (2^5\times 3^2)^3$

so $x^{1/3}=2^5\times3^2$

which I'll leave you to simplify.