What do you do when numbers with powers are multiplied together? (eg 5^2 x 5^4)

What do you do when numbers with powers are divided? (eg 5^5 / 5^3)

How do you work out powers of powers? (eg (3^2)^2)

How do you write a negative power? (eg 2^-2)

How do you simplify algebra written Index Notation?

Can you do this? y^2 + y^3

What does it actually mean when something has a positive power? (eg a power of 4)

What does it mean when something has a negative power?