Question

Evaluate

a. 9^3
b. (-7)^2
c. -2^4
d. (5/6)^3
e. (-2/3)^4
f. 1.2^2
g. 1^8
h. (-5)^55
i. 0.5^3

Answer 1

1. 729
2. 49
3. 16
4. 
   `\sf 3 (17)/(36)`
5. 
   `\sf (16)/(81)`
6. 1.44
7. 1
8. -277.555.756.156.289.135.105.907.917.022.705.078.125
9. 0.125

Explanation:

A)

9³

= 9 × 9 × 9

= 81 × 9

= 729

B)

(-7)²

= -7 × (-7)

= 7 × 7

= 49

C)

(-2)⁴

= -2 × (-2) × (-2) × (-2)

= 2 × 2 × 2 × 2

= 2² × 2²

= 4 × 4

= 16

D)

(⅚)³

= ⅚ × ⅚ × ⅚

`\sf = \frac{ {5}^(3) }{ {6}^(3) }`

`\sf = (125)/(36)`

`\sf = 3 (17)/(36)`

E)

(-⅔)⁴

= -⅔ × (-⅔) × (-⅔) × (-⅔)

`\sf = \frac{ {2}^(4) }{ {3}^(4) }`

`\sf = (16)/(81)`

F)

1.2²

= 1.2 × 1.2

= 1.44

G)

1⁸

= 1 × 1 × 1 × 1 × 1 × 1 × 1 × 1

= 1

H)

(-5)⁵⁵

= (-5) × (-5) × .... × (-5)

= -277.555.756.156.289.135.105.907.917.022.705.078.125

I)

0.5³

= 0.5 × 0.5 × 0.5

= 0.25 × 0.5

= 0.125

Conclusion:

• a. 9³ = 729
• b. (-7)² = 49
• c. -2⁴ = 16
• d. (⅚)³
  `\sf = 3 (17)/(36)`
• e. (-⅔)⁴
  `\sf = (16)/(81)`
• f. 1.2² = 1.44
• g. 1⁸ = 1
• h. (-5)⁵⁵ = -277.555.756.156.289.135.105.907.917.022.705.078.125
• i. 0.5³ = 0.125