Question

Find the value of a,b,c,d where a×b×c=200, b×c×d= 90, c×d×a= 54 and d×a×b=48 so value of a×b×c×d is?

Answer 1

Answer:

xigcjttxitclxutxdgxyyxhiyidgjd

Answer 2

The value of a×b×c×d would be 360.

Step-by-step explanation:

Given,

a×b×c=200            ...........(1)

b×c×d= 90             ...........(2)

c×d×a= 54             ...........(3)

d×a×b=48             ...........(4)

Equation (1) × equation (2) × equation (3) × equation (4),

a × b × c × b × c× d  × c × d × a  × d × a × b = 200 × 90 × 54 × 48

a³ × b³ × c³ × d³ = 46656000    ( using $x^m.y^n = x^{m+n}$ )

(a×b×c×d)³ =  46656000            ( using $x^m.y^m = (xy)^m$ )

⇒ a×b×c×d = ∛46656000 = 360   ( Taking cubic root both sides )

#Learn more:

Solve it with the properties of exponents​

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