How do I write (A^3)^2 without using exponents

(A*A*A) * (A*A*A)

This type of question can be very easy by knowing how exponents work. Exponents are terms multiplying by each other (for example 5^3 would be 125 because 5*5*5 is 125.)

Exponents tell us how many times a number is repeated in the multiplication of the same number. In this case we can follow PEMDAS to just have a place to start, so let’s start with (A^3).

For (A^3) we would just multiply A 3 times by itself, therefore it would look like (A*A*A). Next we can start with the other exponent on the outside of (A^3).

When squaring (using an exponent of 2) a number or expression this case we use the identical number or expression and multiply it by itself (5^2 would be 5*5). So since we already have the expression (A^3) simplified as (A*A*A) then we know what expression to multiply by itself which would lastly give you (A*A*A) * (A*A*A) or (A*A*A)(A*A*A).