SOLUTION: Create an expression using exponent laws that simplifies to 4x 2 y. Include a full worked solution. Your work must include:  At least two different exponent laws  Cannot s

Algebra ->  Exponents -> SOLUTION: Create an expression using exponent laws that simplifies to 4x 2 y. Include a full worked solution. Your work must include:  At least two different exponent laws  Cannot s      Log On


   

Question 1151264: Create an expression using exponent laws that simplifies to 4x 2 y. Include a full worked solution.
Your work must include:
 At least two different exponent laws
 Cannot start with the terms 4, x 2 or y
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2816%29%2A%28x%5E5%2Fx%5E3%29%2Ay%5E3%2Ay%5E%28-2%29.............use a fractional exponent rule:sqrt%28x%5Em%29=%28x%5Em%29%5E%281%2F2%29
so, sqrt%2816%29=sqrt%284%5E2%29=%284%5E2%29%5E%281%2F2%29=4%5E%282%2A%281%2F2%29%29=4
4%2A%28x%5E5%2Fx%5E3%29%2Ay%5E3%2Ay%5E%28-2%29.............. use rule x%5E%28-m%29=1%2Fx%5Em
4%2A%28x%5E5%2Fx%5E3%29%2A%28y%5E3%2Fy%5E2%29.....use rule for division of exponents with same base: x%5Em%2Fx%5En=x%5E%28m-n%29
4%2Ax%5E%285-3%29%2Ay%5E%283-2%29+
4%2Ax%5E2%2Ay