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Exponents Class 7 Math Worksheet – 30 Marks
Exponents
(1) Express each of the following in exponential form. [6 × 1] = 6
(i) 3 × 3 × 3 × 3
(ii) m × m × m × m ×m
(iii) ab × ab × ab
(iv) 21 × 21 × 21 × 21 × 21
(v) (-p) × (-p) × (-p) × (-p) × (-p) × (-p) × (-p)
(vi) -5/9 × -5/9 × -5/9 × -5/9
(2) Express each rational number using an exponent. [4 × 1] = 4
(i) 141
(ii) – 1/16
(iii) 4/343
(iv) – 475
(3) Simplify the using the laws of exponent into the exponential form. [4 × 1] = 4
(i) p5 × p6
(ii) (-m/n) × (-m/n)11
(iii) (-6)3 × (-6)4
(iv) (4/5)20 × (4/5)9
(4) Simplify: [6 × 1] = 6
(i) 49 ÷ 44
(ii) (p)7 ÷ (p)2
(iii) (6)5 ÷ (7)5
(iv) (5/6)9 ÷ (5/6)4
(v) (y)a ÷ (y)b
(vi) (-7)9 ÷ (-7)6
(5) Change the following negative exponents into positive exponents. [4 × 1] = 4
(i) (-p)-4
(ii) (18)-3
(iii) (a/b)-x
(iv) (4/5)-6
(6) Express the following as single exponents. [4 × 1] = 4
(i) (45)7
(ii) (-p9)6
(iii) (mx)y
(iv) [(-1/5)5]5
(7) Define the power law of exponent. [1 × 1] = 1
(8) What is the product law with the same base? [1 × 1] = 1