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5. \\(\\frac{15x^5y^6z}{5x^{-3}y^4z}=\\)

Question

  1. \\(\frac{15x^5y^6z}{5x^{-3}y^4z}=\\)

Explanation:

Step1: Simplify the coefficients

$\frac{15}{5} = 3$

Step2: Simplify the $x$-terms

$x^{5 - (-3)} = x^{5+3} = x^8$

Step3: Simplify the $y$-terms

$y^{6 - 4} = y^2$

Step4: Simplify the $z$-terms

$z^{1 - 1} = z^0 = 1$

Step5: Combine all simplified terms

$3 \times x^8 \times y^2 \times 1$

Answer:

$3x^8y^2$