Class 8: Exponents and powers extra questions 1) Find the value of (40 + 4-1) × 22 2)Simplify the following expression and express the result in positive power notation: (−4)5 ÷ (−4)8 3) Evaluate a2 × a3 × a-5 4)Express 4-3 as a power with base 2. 5)Find the value of x for which 2x ÷ 2-4 = 45 6) Calculate the missing value of “x” in the following expression: (11/9)3 × (9/11)6 = (11/9)2x-1 7) 5 books and 5 paper sheets are placed in a stack. Find the total thickness of the stack if each book has a thickness of 20 mm and each sheet has a thickness of 0.016 mm. Thickness of 1 book = 20 mm And, Thickness of one paper = 0.016 mm So, thickness of 5 books = 20 x 5 = 100 mm And, Thickness of 5 papers = 0.016 × 5 = 0.08 mm Now, the total thickness of a stack is: = 100 + 0.08 = 100.08 mm = 100.08 102 / 102 mm = 1.008 × 102 mm 8)Express 0.00000000837 in standard form. 9)Find the value of (37 + 4-3 + 53)0 10)Evaluate: [{1/2}-1+{1/3}-1]-1 11)Express 31860000000 in standard form.
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