Question

Simplifying an Expression with the Numerator and the Denominator Raised to a Power

Answer 1

Answer:

The answer to your question is    the second option     $\frac{1}{x^{48}y^{36}z^{6}}$

Step-by-step explanation:

Expression

                       $[\frac{(x^{2}y^{3})^{-2}}{(x^{6}y^{3}z)^{2}}]^{3}$

Process

1.- Divide the fraction in numerator and denominator

a) Numerator  

 [(x²y³)⁻²]³ = (x⁻⁴y⁻⁶)³ = x⁻¹²y⁻¹⁸

b) Denominator

 [(x⁶y³z)²]²= (x¹²y⁶z²)³ = x³⁶y¹⁸z⁶

2.- Simplify like terms

a) x⁻¹²x⁻³⁶ = x⁻⁴⁸

b) y⁻¹⁸y⁻¹⁸= y⁻³⁶

c) z⁻⁶

3.- Write the fraction

        $\frac{1}{x^{48}y^{36}z^{6}}$