How do you multiply #x^ { \frac { 5} { 4} } y ^ { 3} \cdot 3y ^ { \frac { 1} { 2} }#?

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Answer 1 · 2017-05-31T16:32:43

#3x^(5/4)y^(7/2)#

collect like terms:

#x^(5/4) * y^3 * 3 * y^(1/2)#

#= x^(5/4) * 3 * (y^3*y^(1/2))#

law of indices:

#a^m * a^n = a^(m+n)#

#y^3*y^(1/2) = y^(3+1/2) = y^(7/2)#

#= x^(5/4) * 3 * (y^3*y^(1/2)) = 3x^(5/4)y^(7/2)#