Indicies, Repricorals, Roots

Question 1

2 to the power of 5

Answer 1

32

Question 2

3 to the power of 3

Answer 2

27

Question 3

7 to the power of 2

Answer 3

49

Question 4

2 to the power of 4 in index form

Answer 4

2 x 2 x 2 x 2

Question 5

4 to the power of 5 in index form

Answer 5

4 x 4 x 4 x 4 x 4

Question 6

7 to the power of 4 in index form

Answer 6

7 x 7 x 7 x 7

Question 7

6 to the power of 2 in index form

Answer 7

6 x 6

Question 8

What do you call the main integer in an indices equation?

Answer 8

The Base number

Question 9

Powers, AKA

Answer 9

Index or Exponent

Question 10

Estimate:

The square root of 50

Answer 10

7 to the power of 2 is 49, and 8 to the power of 2 is 64, so it must be in between 7 and 8.
= 7.3 and below

Question 11

Estimate:

The square root of 70

Answer 11

8 to the power of 2 is 64 and 9 to the power of 2 is 81, so it must be in between 8 and 9.
= 8.2 to 8.5

Question 12

(-5) to the power of 2

Answer 12

25

Question 13

5 to the power of 2

Answer 13

25

Question 14

(-7) to the power of 2

Answer 14

49

Question 15

7 to the power of 2

Answer 15

49

Question 16

10 to the power of 2 x 10 to the power of 3

Answer 16

10 to the power of 5

Question 17

10 to the power of 7 x 10 to the power of 8

Answer 17

10 to the power of 15

Question 18

5 to the power of 1

Answer 18

5

Question 19

1243575 to the power of 1

Answer 19

1243575

Question 20

4536856 to the power of 0

Answer 20

1

Question 21

6 to the power of 0

Answer 21

1

Question 22

a) Anything to the power of 1 gives ‘____’

b) Anything to the power of 0 gives ‘____’

Answer 22

a) the number itself

b) 1

Question 23

2 to the power of -1

Answer 23

1/2

Question 24

4 to the power of -2

Answer 24

1/16

Question 25

7 to the power of -3

Answer 25

1/343

Question 26

4 to the power of 1/2

Answer 26

2

Question 27

125 to the power of 1/3

Answer 27

5

Question 28

64 to the power of 1/3

Answer 28

4

Question 29

When multiplying algebra indices you…

Answer 29

Add the powers

Question 30

When dividing algebra indices you…

Answer 30

Subtract the powers

Question 31

When doing algebra indices in brackets you…

Answer 31

Multiply the powers

Question 32

What is the reciprocal of n?

Answer 32

1/n

Question 33

What is the reciprocal of 7?

Answer 33

1/7

Question 34

5 x 1/5 = 1

because…

Answer 34

Any number multiplied by it’s reciprocal is always equal to 1.

Question 35

The reciprocal of 3/4 is 4/3 because…

Answer 35

To find the reciprocal of a fraction, just flip it

Question 36

3/4 x 4/3 = 12/12 = 1 because…

Answer 36

Any fraction multiplied by it’s reciprocal is always equal to 1.

Question 37

To find the reciprocal by a decimal, just divide 1 by it

0.25 divided by 1 is…

Answer 37

4

Question 38

0.25 x 4 = 1 because…

Answer 38

Any decimal multiplied by it’s reciprocal is always equal to 1.

Question 39

A terminating decimal has…

Answer 39

a finite number of decimal places, etc. 0.125

Question 40

a recurring decimal has…

Answer 40

a digit or group of digits that repeat forever, etc. 0.666666

Question 41

To convert fraction to recurring decimal…

Answer 41

Divide the numerator by the denominatore.

Question 42

0.8 to fraction

Answer 42

0.8 is 8 tenths, so we write it as 8/10 and simplify to 4/5

Question 43

0.09

Answer 43

0.009 is 9 thousandths, so we write it as 9/1000 and we can’t simplify it.

Question 44

Convert 0.045 to a fraction

Answer 44

0.045 = 45/1000

Question 45

Convert 0.0079 to a fraction

Answer 45

0.0079 = 79/10000

Question 46

Convert 0.6666666 into a fraction

Answer 46

Steps-
1) Imagine that x is 0.6666
2) 10x means 10 x 0.6666 which equals 6.6666
3) We want to turn this number into an integer, so we need to get rid of the 0.6666
4) So now we do 10x (6.6666) subtract x (0.6666) which equals 6 and is also known as 9x.
5) Now that we have an integer, we divide the integer (6) by 9.
That gives us 6/9!