Question

simplify the following expression using the properties of exponents. the final form of the expressions with variables should contain only positive exponents. assume that all variables represent nonzero numbers.
$\frac{42x^{7} cdot 6x^{-3}}{18yx^{4}}$

Explanation:

Step1: Multiply numerator coefficients

$42 \times 6 = 252$

Step2: Combine x terms in numerator

$x^7 \cdot x^{-3} = x^{7 + (-3)} = x^4$

Step3: Simplify fraction coefficients

$\frac{252}{18} = 14$

Step4: Cancel $x^4$ terms

$\frac{x^4}{x^4} = 1$

Answer:

$\frac{14}{y}$