5.4. Indices

Question 1

a^n * a^m

Answer 1

a^n+m

Question 2

a^n / a^m

Answer 2

a^n-m

Question 3

(a^n)^m

Answer 3

a^n*m

Question 4

a^-n

Answer 4

1/a^n

Question 5

(2/8)^-1

Answer 5

(The reciprocal of 2/8)
—>

8/2 = 4

Question 6

a^(1/n)

Answer 6

n√a

Question 7

a^(m/n)

Answer 7

(n√a)^m

Question 8

a^0

Answer 8

1

Question 9

Write 8^(-5/3) as a power of 2….

Answer 9

Begin by putting 8 into terms of 2

(2³)^(-5/3)

2^(3/1 * -5/3)

2^-5

Question 10

Finding an unknown power

64^x = 2

x = ?

Answer 10

64^x = 2
64 = 2^6
(2^6)^x = 2
2^6*x = 2^1
6x = 1
x = 16