mathsgenie.co.uk 1 2 Please do not write on this sheet x8 × x3 (1) (b) Simplify (5y)3 (1) (c) Simplify w7 w4 (1) (a) (a) Simplify Simplify Work out the value of 5² × 23 7 (1 mark) Write down the value of 2-3 8 (1 mark) (3 marks) a9 × a4 2 3 (1) (b) Simplify (4b c) (1) (c) Simplify d9 ÷ d4 (1) y² × ya = y7 9 (a) Find the value of a. (a) Simplify (b) Simplify 2m2 × 5n6 (1) 15p 3 ÷ 3p 4 (2) (b) Find the value of b. 10 (a) Given (a) Simplify (t 3)4 (b) Simplify 12m²n6 ÷ 3mn4 (b) 11 (3 marks) 5 Simplify 5m²n3 × 3mn4 (2 marks) 6 x6 = x8 a x Simplify (2m²)⁴ (1) (2) (a) Write down the value of 5-3 (1) (b) Write down the value of 50 (1) (1) (2 marks) (1) Find the value of a. (3 marks) 4 (1) (y4)b = y12 (3 marks) 3 mathsgenie.co.uk (a) Write (2) (3 marks) 3 4 × 35 as a power of 3 2 3 (2) (b) Write down the value of 3-3 (1) (c) Write down the value of 30 (1) (4 marks) (2 marks) Grade 4 Indices Grade 4 mathsgenie.co.uk 12 Work out the value of Please do not write on this sheet 29 × 2−2 4 2 19 10x = 1 Write down the value of x. (2 marks) 13 mathsgenie.co.uk (1 mark) Work out the value of (22)3 20 Write 54 × 5 as a power of 5 (1 marks) 14 (a) Simplify p3 × p5 2 3 (b) Simplify (4ab ) (1 mark) (1) 21 Write down the reciprocal of 2 (2) (1 mark) 7 3 (c) Simplify 15 16m n 4m3n (2) 22 (5 marks) 10004 = 10x (a) Simplify 5c2d3 × 2d (1) (b) Write 64 × 45 as a power of 4 (2) (c) Simplify p3 × ( p5)2 (2) Find the value of x. (5 marks) (1 mark) 16 17 3 Work out the value of 2 × 2 5 2 23 Write down the value of x (2 marks) Write down the reciprocal of 8 24 (1 mark) 18 (a) Simplify 9p3 × 2p-2 (b) Simplify (5x3y2)3 Write down the reciprocal of (1 mark) 1 3 (1 mark) (1) 25 (2) (c) p3 × p5 = p12 × p y Find the value of y p9 × p5 = px Simplify 10p3q5r 4p3q6 (2 marks) (2) (5 marks) Grade 4 Indices Grade 4