Question

Simplify the given fractions by adding, subtracting, multiplying, and/or dividing. $\frac{\left(x^2 y^3\right)^4\left(y^4\right)^0 z^{-2}}{\left(x z^2\right)^3 y^{-5}}$

   Simplify the given fractions by adding, subtracting, multiplying, and/or dividing.
 $\frac{\left(x^2 y^3\right)^4\left(y^4\right)^0 z^{-2}}{\left(x z^2\right)^3 y^{-5}}$

Calculus for dummies: 1,001 calculus practice problems

Calculus for dummies: 1,001 calculus practice problems

Patrick Jones 1st Edition

Chapter 1, Problem 13

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Step 1

- \((x^2 y^3)^4 = (x^2)^4 (y^3)^4 = x^{2 \times 4} y^{3 \times 4} = x^8 y^{12}\). - \((y^4)^0 = 1\) because any non-zero number raised to the power of 0 is 1. - Therefore, the numerator simplifies to \(x^8 y^{12} \cdot 1 \cdot z^{-2} = x^8 y^{12} z^{-2}\). Show more…

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Simplify the given fractions by adding, subtracting, multiplying, and/or dividing. $\frac{\left(x^2 y^3\right)^4\left(y^4\right)^0 z^{-2}}{\left(x z^2\right)^3 y^{-5}}$

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