Question

Evaluate the following:

`9^4 ÷ 27^(-2/3)`

Answer 1

`9^4 ÷ 27^(-2/3)`

= `[(3)^2]^4 ÷ [(3)^3]^(-2/3)`

= `(3)^(2 xx 4) ÷ (3)^(3xx)(-2/3)`    ......(Using (a^m)ⁿ = a^mn)

= (3)⁸ ÷ (3)-2

= `(3)^(8-(-2)`   ......(Using a^m ÷ aⁿ = a^{m - n})
= (3)⁸⁺² 
= 3¹⁰
= (3)^{2x 5}
= [(3)²]⁵
= [9]⁵
= 59049.