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# Powers and Roots 2

Evaluate the expressions in questions 7 to 11. Give your answers to 3 significant figures (sf) where necessary.

## Q7)

1. (6.5)3 _________
2. (0.35)2 _________
3. (15.2)4 _________
4. (0.04)3 _________
5. √5.6 _________
6. 3√12.4 _________
7. √109 _________
8. ∛ 3√0.6 _________
9. (1 1/2)2 _________
10. √4 3/4 _________
11. 5/83 _________
12. 3√9/10 _________

## Q8)

1. (2.4)2 + 3 _________
2. 5.9 - (1.2)3 _________
3. 3√5.6 + (4.2)2 _________
4. (6.05)3 - 3√8.4 _________
5. 6.1[35.4 - (4.2)2] _________
6. 95 - 3(3√48 - 2.6) _________
7. 1 1/2 [4 + (2 1/4)2] _________
8. 19 - 4[(1/4)2 + ((5/8)3)] _________
9. 15 3/5 - 2 1/2[(1 3/4)3 - 3√1 1/2] _________

## Q9)

1. 5-3 _________
2. 2-2 _________
3. 16-4 _________
4. (1.5)-1 _________
5. 51/2 _________
6. 61/3 _________
7. 91/5 _________
8. (4.2)2/3 _________
9. (1 1/4)-3 _________
10. (2 3/5)1/5 _________
11. (5 1/3)-2 _________
12. (10 5/6)5/6 _________
Remember that fractional powers mean roots.

## Q10)

1. √[(1.4)2 + (0.5)2] _________
2. 5.9[(2.3)1/4 + (4.7)1/2] _________
3. 2.5 - 0.6[(7.1)-3 - (9.5)-4] _________
4. (8.2)-2 + (1.6)4 - (3.7)-3 _________
5. (3√8 - 2) / 6 _________
6. (15 + 3√4.1) / 2.4 _________
7. 3√4.7 - 4√2.1 _________
8. [(2 1/4)-2 - (3 1/2)1/2] / 4.4 _________

## Q10)

1. (2 1/4)3 - (1.5)2 _________
2. (3.7)-2 + (4 1/5)1/4 _________
3. 3√(5 1/3) × (4.3)-1 _________
4. (7.4)1/3 × (6 1/4)3 _________
5. [√(22 1/2) + (3.4)2] / (6.9)3 × 3.4 _________
6. [(15 3/5)2 × (2.5)-3] / 3 × (4 1/4) _________
7. 5[(4.3)2 - (2.5)1/2] _________
8. [3.5((2 1/6) - √4.1)] / (3.5)2 × (3 1/2)-2 _________
9. [(1 1/2) + 1/4((2 2/3)2 - (1.4)2))] / (3.9)-3 _________
10. 3√2.73 + 5√2 _________