Question

1. Simplify:- x^7 y^-3 X x^5 y^2 2. Evaluate :- 125 ^ 2/3 ANSWER WITH STEPS

Answer 1

Step-by-step explanation:

1.${x}^{7} {y}^{ - 3} \times {x}^{5} {y}^{2}$

$= \frac{ {x}^{7} }{ {y}^{3} } \times {x}^{5} {y}^{2}$

$= \frac{{x}^{5 + 7} }{ {y}^{3 - 2} }$

$= \frac{ {x}^{12} }{y}$

2. ${125}^{ \frac{2}{3} }$

$= {( {5}^{3}) }^{ \frac{2}{3} }$

$= {5}^{3 \times \frac{2}{3} }$

$= {5}^{2}$

$= 25$