Exponents

Question 1

what must we do first when we have exponents that have different bases

Answer 1

we must take each base and break them down as far as we can

Question 2

how do we break down any number

Answer 2

find any two numbers that when multiplied will equal the original number

Question 3

what buttons on my calculator can i use to break down a base

Answer 3

num = ; shift + fact

Question 4

what do we do once we have the same base

Answer 4

multiply them with the original exponents

Question 5

what do we do once we have the same base and have worked out the exponents

Answer 5

we will add the exponents ( law of exponents) and use the same base for them

Question 6

what do we do now that we have two bases dividing each other

Answer 6

we subtract the exponents

Question 7

what happens to square roots when we have a square

Answer 7

we divide them.

It is always the inside number divided by the outside number

Question 8

what do we do when there is nothing outside of the square root

Answer 8

the exponent is an automatic 2

Question 9

how do we work out an exponential equation with more than one term

Answer 9

we must factorize instead of cancelling any numbers

Question 10

how do we factorize numbers with exponents

Answer 10

we do this by breaking them down to the simplest exponents

So we break them up

Question 11

how do we factorize

Answer 11

1. take out the greatest common factor and place it outside of the brackets
2. then divide the rest of the equation with the number outside of the brackets
3. So we must find the numbers that are in both terms and take them out
4. Then we place what is left inside of a bracket

Question 12

What must we do once we have our brackets

Answer 12

We can now cancel out

Our answer will be with what number we are left with