Question

Simplify and express the following in exponential form:

`(3 xx 7^2 xx 11^8)/(21 xx 11^3)`

Answer 1

`(3 xx 7^2 xx 11^8)/(21 xx 11^3) = (3 xx 7^2 xx 11^8)/(3 xx 7 xx 11^3)`

= 3^{1 - 1} × 7^{2 - 1} × 11^{8 - 3}        ...(a^m ÷ aⁿ = a^{m - n})

= 3⁰ × 7¹ × 11⁵

= 1 × 7 × 11⁵ 

= 7 × 11⁵