Question

What is the value of the expression, written in standard form?

Answer 1

We are told to the write the given expression in standard form ;

`{:\implies \quad \sf (6.6* 10^(-2))/(3.3* 10^(-4))}`

Rewrite as ;

`{:\implies \quad \sf (66* 10* 10^(-2))/(33* 10* 10^(-4))}`

`{:\implies \quad \sf (2* 10^(-2))/(10^(-4))}`

`{:\implies \quad \sf 2* (10^(-2))/(10^(-4))}`

`{:\implies \quad \sf 2* 10^(-2-(4))\quad \qquad \bigg\{\because (a^m)/(a^n)=a^(m-n)\bigg\}}`

`{:\implies \quad \sf 2* 10^(-2+4)}`

`{:\implies \quad \boxed{\bf{2* 10^(2)}}}`

This is the required answer