if x>0, what values of c and d make the equations true?
Equation A: √448x^c = 8x^3√7x
Equation B: ^3√576x^d = 4x^3√9x^2
In equation A, c = ___
In equation B, d = ___

if xgt0 what values of c and d make the equations true Equation A 448xc 8x37x Equation B 3576xd 4x39x2 In equation A c In equation B d class=

Respuesta :

Answer:

a=7

b=5

Step-by-step explanation:

In equation A , value of c is 7 and In equation B, value of d is 5.

Given that, In equation A

After comparing,                       [tex]\sqrt{448x^{c} }=8x^{3}\sqrt{7x} \\\\\sqrt{448x^{c} } =\sqrt{7x*(8x^{3} )^{2} } \\\\\sqrt{448x^{c} }=\sqrt{448x^{7} } \\\\c=7[/tex]

In equation B,

         After comparing,              [tex]\sqrt[3]{576x^{d} }=4x\sqrt[3]{9x^{2} } \\\\\sqrt[3]{576x^{d} }=\sqrt[3]{9x^{2} *(4x)^{3} } \\\\\sqrt[3]{576x^{d} }=\sqrt[3]{576x^{5} } \\\\d=5[/tex]

Thus, In equation A, value of c is 7 and In equation B, value of d is 5.

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