Question

please tell the answer with explaination



i will mark you as brainliest

Answer 1

Answer:

Z^3=[(c*b^4)]/a^2

Step-by-step explanation:

Z*x^2=c^3 therefore z=c^3/x^2

Now before cubing this lets try to see what x^2 equals to:

X*y^2=a^3

X=a^3/y^2

X^2=a^6/y^4

Now lets find what y^4 equals to:

Y*z^2=b^3

Y=b^3/z^2

Y^4=b^12/z^8 include this in the equation for x^2:

X^2=a^6/b^12/z^8=[(a^6)*(z^8)]/b^12 include this in the equation for z:

Z=[(c^3)*(b^12)]/[(a^6)*(z^8)] if we cube this we have:

Z^3=[(c^9)*(b^36)]/[(a^18)*(z^24)]

These parentheses are just to know whats being divided and whats being multiplied.

You see z^3 depends on z^24. You can multiply both sides with z^24 and you get:

Z^27=[(c^9)*(b^36)]/a^18 now finally take 9th root this to get z^3 :

Z^3=[(c*b^4)]/a^2

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