Exponents, Roots, and Formulas

Question 1

Powers of 2

Answer 1

Question 2

Powers of 3

Answer 2

Question 3

Powers of 4, equal powers of 2 what?

Answer 3

Question 4

Answer 4

125

Question 5

More squares

Squares 1-20 and 30

Answer 5

Question 6

List cubes 1-10

Answer 6

Question 7

When you multiply exponents with same base you

Answer 7

add the powers

Question 8

When you divide exponents with the same base, you

Answer 8

subtract the powers

Question 9

Answer 9

Question 10

Answer 10

Question 11

What are the first 20 perfect squares? Focus on the last 10!

Answer 11

Question 12

Square root of 2? Square root of 3?

Answer 12

Question 13

Ie square root of 50 can be rewritten as? (given it is not a perfect square)

Answer 13

Top tip is to find prime factorisation and go from there!!

Question 14

Answer 14

Question 15

Answer 15

Question 16

Adding or subtracting exponents with the same base.

Simplify the fraction in the image:

Answer 16

Question 17

Smaller positive numerator divided by larger positive denominator

a) greater than 1 (>1)
b) less than 1 (<1)

Answer 17

Less than 1 (<1)

Question 18

Larger positive numerator divided by smaller positive denominator,

a) greater than 1 (>1)
b) less than 1 (<1)

Answer 18

Greater than 1 (>1)

Question 19

Answer 19

Question 20

The bigger the exponent, the ______ the fraction (since you’re dividing by a larger number).

Answer 20

The bigger the exponent, the** smaller** the fraction (since you’re dividing by a larger number).

Question 21

Negative exponents: The _____ the denominator the smaller the overall value

Answer 21

Negative exponents: The larger the denominator the smaller the overall value

Question 22

Negative exponents: The smaller the denominator the ____ the overall value

Answer 22

Negative exponents: The smaller the denominator the **larger **the overall value

Question 23

The smaller the exponent, the ________ the fraction (since you’re dividing by a smaller number).

Answer 23

The smaller the exponent, the ** larger** the fraction (since you’re dividing by a smaller number).

Question 24

Answer 24

D

Answer A would be neg because neg sign is applied last
Answer C negative because any neg number raised to an odd power remains neg
Other three answers are positive so eliminate a and c for now
Answer B has a negative exponent so the base 6 will turn into a fraction less than 1
Likewise, answer E will give a fraction less than 1.
B > E because it has a smaller denominator value meaning a greater overall value
Smaller denominator value means greater overall value!
Answer D is a neg number raised to an even power so it becomes positive
The power itself is positive so the answer will be greater than 1 and therefore larger than B and E

Question 24

Solve

Answer 24

Question 25

Question 26

Solve

Answer 26

A

Question 26

Answer 26

Question 27

Answer 27

Question 28

This can also be rewritten as

Answer 28

Use the neg exponent rule to make the exponent positive and 1 / the og fraction!