Summarize the rules for multiplying powers with the same base, dividing powers with the same base, and raising a power to a power

Question

I need help with homework. 

Answer 1

When you multiply powers of the same base

 

n² x n³ = n^{2 + 3} = n⁵

 

you add them powers together.

 

For dividing

 

n³/n² = n^{3 - 2} = n

 

you subtract the powers.

 

for raising a power to a power

 

(n²)³ = n^{2 x 3} = n⁶

 

you multiply the powers together