How do you multiply and simplify #\frac { 10a ^ { 3} \cdot 10a ^ { 0} } { 2a ^ { 0} }#?

2 Answers
Ho Kae Boon · MathFact-orials.blogspot.com
Jun 3, 2017

#50a^2#

Explanation:

Note that #a^0=1#
(This is because when #x^(a+b)=x^ax^b# we want this law to still be satisfied when we extend to the case #b=0#, we need to have #x^a=x^ax^0#, and therefore we need to have # x^0=1#)

Soooo

#(10a^3 *10a^0)/(2a^0)#
#=(10a^3 *10)/(2)#
#=10a^3 *5#
#=50a^3#

Nityananda
Jun 3, 2017

#50a^3#

Explanation:

Anything to the power zero means one. That is say #a^0 = 1#

Now #[10a^3*10a^0]/[2a^0] = [10a^3*10*1]/[2*1]#

#rArr 10*5*a^3 = 50a^3#

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