Simplify Expressions...1

[nycmathguy]

A review of basic mathematics.

 

[MathLover1]

correct

tip: 3^-6*3^4 is easier to do this way:
3^-6*3^4=(1/3^6)*3^4=3^4/3^6=3^(4-6)=3^-2=1/3^2=1/9

 

[EmptySetBlues]

The general rule is:
n^i * n^j = n^(i+j) (And n^i * n^j *n^k = n^(i+j+k), etc)
so, most directly,
(3^-6) * (3^4)
= 3^(-6+4)
= 3^-2
= 1/ (3^2)
= 1/9

Spot this relationship right away and constantly to streamline polynomial problems.

 

[nycmathguy]

correct

tip: 3^-6*3^4 is easier to do this way:
3^-6*3^4=(1/3^6)*3^4=3^4/3^6=3^(4-6)=3^-2=1/3^2=1/9

Ok. Good to know.

 

[nycmathguy]

The general rule is:
n^i * n^j = n^(i+j) (And n^i * n^j *n^k = n^(i+j+k), etc)
so, most directly,
(3^-6) * (3^4)
= 3^(-6+4)
= 3^-2
= 1/ (3^2)
= 1/9

Spot this relationship right away and constantly to streamline polynomial problems.

Very good. Good to know. Good to review basic math occasionally.