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1. (-7) index -7 base (-7)2 = (-7)x(-7) (-7)3 = (-7)x(-7)x(-7) The index indicates how many time the base is to be multiplied by itself 5.6 (-7)4 = (-7)x(-7)x(-7)x(-7) x a x x a x a x a 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 (-7)5 = (-7)x(-7)x(-7)x(-7)x(-7) Enter a value on keypad then click the base part of the number (-7)6 = (-7)x(-7)x(-7)x(-7)x(-7)x(-7) (-7)7 = (-7)x(-7)x(-7)x(-7)x(-7)x(-7)x(-7) (-7)8 = (-7)x(-7)x(-7)x(-7)x(-7)x(-7)x(-7)x(-7) (-7)9 = (-7)x(-7)x(-7)x(-7)x(-7)x(-7)x(-7)x(-7)x(-7) (-7)10 = (-7)x(-7)x(-7)x(-7)x(-7)x(-7)x(-7)x(-7)x(-7)x(-7) x ÷ a (-) √ ^ ³ On ² 3.14 Type + - 6 7 8 9 27 S b 5 Next 0 . 3 π = c 0 1 2 4 Ans

2. 108 ( 10 to the power 8 ) = 10x10x10x10x10x10x10x10 5.6 = 5x5x5x5x5x5x5x5x5 x a x x a x a x a 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 = 4x4 = 7x7x7x7x7x7 x ÷ a (-) √ ^ ³ On ² 3.14 Type + - 6 7 8 9 27 S b 5 Next 0 . 3 π = c 0 1 2 4 Ans

3. c6 x c4 cxcxcxcxcxc cxcxcxc x = 5.6 x a x a x Enter the base and index of answer 6+4 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 = c = To multiply ( powers of a number ) add the indices NB The base of the number must be the same base is c Show Working x ÷ a (-) √ ^ ³ On ² 3.14 Type + - 6 7 8 9 27 S b 5 Next 0 . 3 π = c 0 1 2 4 Ans

4. (a) 47 x 43 410 410 x 42 (b) 5.6 48 x 46 (c) 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 44 x 45 (d) 49 x 44 (e) 410 x 47 417 (f) 43 x 48 411 (g) 42 x 46 (h) 49 x 45 (i) x ÷ (-) √ ^ ³ On ² 3.14 Calculate + - 5 6 7 8 9 27 S 0 Next . 3 π = 0 1 2 4 Ans

5. a7 ÷ a2 axaxaxaxaxaxa = 5.6 axa x a x a x 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 7-2 Enter the base and index of answer 5 = a = a To divide ( powers of a number ) subtract the indices NB The base of the number must be the same base is a Show Working x ÷ a (-) √ ^ ³ On ² 3.14 Type + - 6 7 8 9 27 S b 5 Next 0 . 3 π = c 0 1 2 4 Ans

6. Negative Indices The negative power of a positive base is a fraction 33=27 32=9 5.6 x a x a x 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 31=3 30=1 3-1=0.333333(6dp)= 1/3= 1/31 3-2=0.111111(6dp)= 1/9= 1/32 Start Index base is 3 3 x ÷ a (-) √ ^ ³ On ² 3.14 + - 6 7 8 9 27 S b 5 0 . 3 π = c 0 1 2 4 Ans

7. Negative Indices 1 = 5.6 a-6 x a x a x 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 1 = a2 base is a x ÷ a (-) √ ^ ³ On ² 3.14 + - 6 7 8 9 27 S b 5 0 . 3 π = c 0 1 2 4 Next Ans

8. 24 ÷ 27 2x2x2x2 1 = = 5.6 2x2x2x2x2x2x2 23 x a x a x 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 4-7 Enter the base and index of answer = 2 = To divide ( powers of a number ) subtract the indices In these examples the answer is a number with a negative power base is 2 Show Working x ÷ a (-) √ ^ ³ On ² 3.14 + - 6 7 8 9 27 S b 5 Next 0 . 3 π = c 0 1 2 4 Ans

9. 3-2 33 3x3x3 1 5.6 = x 3x3x3x3 3x3 x a x a x 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 = Enter the base and index of answer To multiply ( powers of a number ) add the indices This works for ALL integer indices base is 3 Show Working x ÷ a (-) √ ^ ³ On ² 3.14 Type + - 6 7 8 9 27 S b 5 Next 0 . 3 π = c 0 1 2 4 Ans

10. Power of existing power ( 24 )2 5.6 =(2x2x2x2)x(2x2x2x2) x a x a x 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 4x2 8 = 2 = 2 base is 2 Show Working x ÷ a (-) √ ^ ³ On ² 3.14 Type + - 6 7 8 9 27 S b 5 Next 0 . 3 π = c 0 1 2 4 Ans

11. 5.6 3^2/54 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 x ÷ (-) √ ^ ³ On ² 3.14 Calculate + - 5 6 7 8 9 27 S 0 Next . 3 π = 0 1 2 4 Ans

12. (a) √3 x √12 5.6 (b) √5 x √10 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 (c) √2 x √6 (d) √7 x √8 (e) √7 x √32 (f) √2 x √45 (g) √6 x √12 (h) √5 x √32 (i) √3 x √32 x ÷ (-) √ ^ ³ On ² 3.14 Calculate + - 5 6 7 8 9 27 S 0 Next . 3 π = 0 1 2 4 Ans

13. 5.6 Radius 100 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 Sector 3 Radius 150 Sector 4 Radius 50 π On x ÷ (-) √ ^ ³ ² 3.14 Calculate + - 5 6 7 8 9 27 Next Sphere 0 . S = 0 1 2 3 4 Ans

14. 5.6 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 0 (-) ÷ On 7 8 9 x 4 5 6 + 3.14 π - 3 2 1 27 Radius = 150 0 . A = Calculate S ² √ ³ ^

15. Click it l x b x h V = Op1 V7 V13 V1 V8 V14 V2 0 V9 V3 V15 V10 (-) On Ans V4 V16 C ² √ V11 V17 V5 x 7 8 9 V12 V18 V6 4 5 6 ÷ N9 N7 N8 N6 N5 N3 N4 1 2 3 - N2 N1 N17 N18 N15 N16 N14 N13 N12 0 . = N11 + N10 x ÷ (-) √ C ² 3.14 S + - 5 6 7 8 9 25.748 Test 0 . = 0 1 2 3 4 Ans On

16. = V= (a) r = 10 ; s = 26 V= = r = 13 ; s = 85 (b) = V= (c) r = 11 ; s = 61 V= (d) = r = 16 ; s = 65 V= = r = 5 ; s = 13 (e) V= (f) = r = 6 ; s = 10 V= = (g) r = 15 ; s = 113 Next

17. a5 a3 5.6 a x a a x a x a x a x a x a x a x x a = 3.14 x 6.1 x 6.1 x 6.1 ÷ 3 4 = base is a Show Working x ÷ a (-) √ ^ ³ On ² 3.14 Type + - 6 7 8 9 27 S b 5 Next 0 . 3 π = c 0 1 2 4 Ans