____ 36. Simplify w-15y12-64x3ÊËÁÁÁÁÁÁÁÁÁˆ¯˜˜˜˜˜˜˜˜˜-13.a.-w5x4y4b.-4y4w5xc.-y44w5xd.-4w5xy4____ 37. Evaluate a-4b-3ÊËÁÁÁˆ¯˜˜˜a3b-4ÊËÁÁÁˆ¯˜˜˜for a= -1and b=3. ____ 38. Evaluate a-72b103ÊËÁÁÁÁÁÁÁÁÁÁÁˆ¯˜˜˜˜˜˜˜˜˜˜˜a-5b4ÊËÁÁÁˆ¯˜˜˜for a=4and b= -27. ____ a.82b.8×4c.88d.8×8

Name: ________________________ ID: A6____ 40. Write the number of unit cubes in this large cube as a power.a.83b.88c.8×8×8d.8×8____ 41. Evaluate: 60without using a calculator.____ 42. Write 10 000 as a power of 10.____ 43. Evaluate: - -10()5without using a calculator.____ 44. Evaluate: - -4( )6a.4096b.–24c.24d.–4096Short Answer45. Evaluate 0.656114.46. Write 34ÊËÁÁÁÁÁÁˆ¯˜˜˜˜˜˜56as a radical.47. Write 0.96ÊËÁÁÁˆ¯˜˜˜7as a power.48. Evaluate -64()23without using a calculator.

Name: ________________________ ID: A749. Arrange these numbers in order from least to greatest.1297, 1276, 1219, 1217, 126750. Evaluate -4( )-4without using a calculator.51. Evaluate 827ÊËÁÁÁÁÁÁˆ¯˜˜˜˜˜˜-23without using a calculator.52. Evaluate 0.027()-13without using a calculator.53. Evaluate 81-34without using a calculator.54. Simplify -3a-3b-7c-612a-6b-3c-3.Write using powers with positive exponents.55. Simplify 34m-3n-7p-2ÊËÁÁÁÁÁÁˆ¯˜˜˜˜˜˜-4.56. Evaluate 0.4( )32⋅0.4( )13⋅0.4( )76.57. Evaluate -1619ÊËÁÁÁÁÁÁˆ¯˜˜˜˜˜˜25⋅-1619ÊËÁÁÁÁÁÁˆ¯˜˜˜˜˜˜-25ÈÎÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ˘˚˙˙˙˙˙˙˙˙˙˙˙˙˙˙˙7.58. A sphere has volume 1417 cm3. What is the radius of the sphere to the nearest tenth of a centimetre?59. A sphere has volume 2245 cm3. What is the surface area of the sphere to the nearest tenth of a square centimetre?60. The height, hmetres, of a Douglas fir tree can be estimated from the formula h=35d23, where dmetres is the diameter at the base. Use this formula to determine the approximate height of a Douglas fir tree with base diameter 4.1 m. Write the answer to the nearest metre.

Name: ________________________ ID: A861. Here is a student’s solution for evaluating a power:827ÊËÁÁÁÁÁÁˆ¯˜˜˜˜˜˜-23=-827ÊËÁÁÁÁÁÁˆ¯˜˜˜˜˜˜23=-827ÊËÁÁÁÁÁÁÁÁˆ¯˜˜˜˜˜˜˜˜2=-23ÊËÁÁÁÁÁÁˆ¯˜˜˜˜˜˜2=49Identify any errors in the solution. Write a correct solution.

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- Winter '20
- Exponents, Exponentiation, Power of two