Question

Is this statement true or false? a^(-3)+a^(-3)=a^(-6)​

Answer 1

It's false

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Answer 2

Answer: False

Reason:

It should be a^(-3)*a^(-3)=a^(-6)​ based on the rule a^b*a^c = a^(b+c)

A way to see why the equation a^(-3)+a^(-3)=a^(-6)​ is false is to pick a number like a = 1 to find that...

a^(-3)+a^(-3)=a^(-6)​

1^(-3)+1^(-3)=1^(-6)​

1/(1^3) + 1/(1^3) = 1/(1^6)

1/1 + 1/1 = 1/1

1+1 = 1

2 = 1

Which is false, so this shows the original equation is false for a = 1. Therefore it is false in general.