Question

Whats the answer ?
`\frac{ {16b}^(42) }{ {4b}^(25) }`

Answer 1

hello

to solve this problem, we need use law of indicies

`(a^m)/(a^n)=a^(m-n)`

now we having know this, we can proceed to solve our problem here

`(16b^(42))/(4b^(25))`

step 1, let's seperate them and use the expression above to solve it

`\begin{gathered} (16b^(42))/(4b^(25))=(16)/(4)b^(42-25) \\ (16)/(4)b^(17) \end{gathered}`

step 2

divide 16 by 4

`\begin{gathered} (16)/(4)b^(17) \\ 4b^(17) \end{gathered}`