Mathematics, 20.02.2020 08:57 herbal420medici
What values of c and d make the equation true? sqrt[3] 162x^ 6 y^ 5 =3x^ 2 y sqrt[3] 6y^ d c = 2 , d = 2 c = 2 d = 4 c = 6 d = 2 c = 6 d = 4
Answers: 1
![\sqrt[3]{162x^cy^5}=3x^2y\left(\sqrt[3]{6y^d}\right)](/tpl/images/0517/3163/49389.png)
![\left(\sqrt[3]{162x^cy^5}\right)^3=\left(3x^2y\left(\sqrt[3]{6y^d}\right)\right)\:^3](/tpl/images/0517/3163/424fb.png)
![162x^cy^5=(3x^2y)^3(\sqrt[3]{6y^d})^3\\\\162x^cy^5=27x^{2\times3}y^3(6y^d)....[(a^m)^n=a^{mn}]\\\\162x^cy^5=162x^6y^{3+d}....[a^{m}\times\ a^n=a^{m+n}]\\\\\text{Comparing the power of corresponding variables}\\\\\ c=6\ ;\ 3+d=5\Rightarrow\ d=5-3=2](/tpl/images/0517/3163/e4ba0.png)
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What values of c and d make the equation true? sqrt[3] 162x^ 6 y^ 5 =3x^ 2 y sqrt[3] 6y^ d c = 2 , d...
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