Question

Simplify and express the result in power notation with positive exponent.

(i) (ii)

(iii) (iv)

(v)

Answer 1

(i) (−4)⁵ ÷ (−4)⁸ = (−4)^{5 − 8} (a^m ÷ aⁿ = a^{m − n})

= (− 4)⁻³

(ii)

(iii)

(iv) (3^{− 7} ÷ 3⁻¹⁰) × 3⁻⁵ = (3^{−7 − (−10)}) × 3⁻⁵ (a^m ÷ aⁿ = a^{m − n})

= 3³ × 3⁻⁵

= 3^{3 + (− 5)} (a^m × aⁿ = a^{m + n})

= 3⁻²

(v) 2⁻³ × (−7)⁻³ =