Question

if a,b,c,d are the positive integers with abc=200, bcd =90,cda =54 and dab =48, the value abcd​

Answer 1

Answer:

certainly I don't know

Answer 2

The value of abcd would be 360

Step-by-step explanation:

Given,

a, b, c and d are positive integers,

Such that,

abc = 200,

bcd = 90,

cda = 54,

dab = 48

$\implies abc\times bcd\times cda\times dab = 200\times 90\times 54\times 48$

Using the product rule of exponent i.e. $a^m.a^n = a^{m+n}$,

$a^{1+1+1}\times b^{1+1+1}\times c^{1+1+1}\times d^{1+1+1}=46656000$

$a^3.b^3.c^3.d^3=46656000$

Using the power of product rule of exponent i.e. $(ab)^m=a^m.b^m$,

$(abcd)^3=46656000$

Taking 1/3 power both sides,

$((abcd)^3)^\frac{1}{3}=(46656000)^\frac{1}{3}$

Using power of power property of exponent i.e. $(a^m)^n=a^{mn}$,

$abcd= 360$

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