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Question:

Simplify and express the result in power notation with positive exponent. (i) a⁵/a⁸ (ii) (123)² (iii) b⁴ × (53)⁴ (iv) (3ˣ/3ʸ) × 3⁹ (v) 2⁷ × (x)(⁷)

Solution:

(i) a⁵/a⁸ = a⁵⁻⁸ = a⁻³ = 1/a³
(ii) (123)² = 123 × 2 = 246
(iii) b⁴ × (53)⁴ = (b × 53)⁴ = (53b)⁴
(iv) (3ˣ/3ʸ) × 3⁹ = 3ˣ⁻ʸ × 3⁹ = 3ˣ⁻ʸ⁺⁹
(v) 2⁷ × (x)(⁷) = 2⁷x⁷ = (2x)⁷