Question

Using laws of exponents, simplify and write the answer in exponential form:

(i) a⁴ × b⁴

(ii) 6¹⁵ ÷ 6¹⁰ [2 marks]

Answer 1

(i)

By the rule of multiplying the powers with same exponents = a^m × b^m = (ab)^m

Then,

= (a × b)⁴ (0.5 mark)

= (ab)⁴ (0.5 mark)

(ii)

By the rule of dividing the powers with same base = a^m ÷ aⁿ = a^{m – n}

Then,

= (6)^{15 – 10} (0.5 mark)

= 6⁵ (0.5 mark)