Question

I want worksheet on indices for practice. Can solution also be provided

Answer 1

1. Work out 561 - 560
2. Explain why 271/3 = 3
3. Write 27-1/3 as a fraction.
4. Work out the value of 642/3
5. Work out all solutions of the equation: 8m = 2m2
6. Show clearly that 43/2 = 8
. Hence, or otherwise, work out the value of y if 4y = 86
7. Write down the value of 20.
8. Simplify 718 ÷ (73)2. Give your answer as a power of 7.
9. A patient has a disease. She has 43 body cells on day 1. The number of affected cells doubles every day. The disease becomes serious when 210 body cells are affected. On which day does the disease become serious? You must show your working.
10. Work out 10-2 × 641/2.
11. Write down the square of the cube root of x using index notation.
12. Given x = 8, what is the value of the square of the cube root of x?
13. Work out the value of 9-3/2.
14. Evaluate 27-2/3.
15. Explain why 254 = 58.
16. Write 4-1 as a fraction.
17. Work out 84/3.