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

2 Answers

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

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