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mathexponential

Maths help with exponentials


Evaluate

(z x^-1 y)^5 y^5

~~~~~~~~~~~~~~~~~~~~~~~ OVER

x^-4 z^-4

How would I evaluate this if X = 10, y = -3 and z = 3? I would like a step-by-step solution to help me fully understand it.


Solution

  • Numerator evaluates as (z*y*x^-1)^5 * y^5

    further rewriting ((z^5*y^5)*y^5)/x^5

    Denominator ((1/x^4)*(1/z^4))

    Final Answer would be ((y^10)*(z^9))/x

    as per your values it (3^19)/10