Question

If the following fraction is reduced, what will be the exponent on the p? -5p^5q^4/ 8p^2q^2

A. 5
B.4
C.3
D.2

Answer 1

`\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^( n)} \qquad \qquad \cfrac{1}{a^( n)}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\ -------------------------------\\\\ \cfrac{-5p^5q^4}{8p^2q^2}\implies \cfrac{-5p^5q^4p^(-2)q^(-2)}{8}\implies \cfrac{-5p^5p^(-2)q^4q^(-2)}{8} \\\\\\ \cfrac{-5p^(5-2)q^(4-2)}{8}\implies \cfrac{-5\boxed{p^3} q^2}{8}`

Answer 2

Answer: D. 2

Explanation: