Simplify (a) p^2× p^5 (b) Simplify g^6 ÷ g^4

This question involves indices. To calculate the parts, we need to know some indices rules and what they are. Let's look at b^3 - b is the base number and 3 is the power number which shows how many times b has been multiplied. When two indices are multiplied together, we must add the power numbers together for example q^6 x q^3 is q^9. Here we have added the indices 2 and 5 to get 7.So to simplify (a) we should write the numbers out in full: p^2 =p x p p^5 = p x p x p x p x pTherefore the answer is p^7.When dividing indices we can make a fraction to calculate it: g x g x g x g x g divided by g x g x g x g. The common factors in the denominator and numerator can be cancelled out hence we reach g^2 - in other words you take the power number of 6 from 4.