Simplify a^4 x a^5

Question = Simplify a⁴ x a⁵-------------------------------------------So here we have two 'groups' of a being multiplied together. We can rewrite a⁴ and a⁵ as the following:a⁴ = a x a x a x aa⁵ = a x a x a x a x aIf we substitute these into the original question we have:a⁴ x a⁵ = a x a x a x a x a x a x a x a x aIf we count these we have 9 lots of a multiplied together, so this can be rewritten as a⁹.Notice that 4 + 5 = 9, so when we multiply two identical values or letters (these are sometimes called "variables") that are presented in index / power form, we can simply add the powers together.So, to conclude: a⁴x a⁵ = a⁹, which we can obtain from the techniques of multiplying indices.