Question

Help ASAP!!!!!!! 20 points!!! Simplify the expression

7a^4b^-5 x 2a^2b

Answer 1

Answer:-

`\longrightarrow \sf \: 14a^6b^(-4)`

Solution:-

`\begin{gathered}\\\implies\quad \sf 7a^4b^(-5) *2a^2b \\\end{gathered}`

`\begin{gathered}\\\implies\quad \sf 7* a^4* b^(-5) *2* a^2* b \\\end{gathered}`

Grouping the like terms

`\begin{gathered}\\\implies\quad \sf (7*2)* (a^4* a^2)*(b^(-5) * b )\\\end{gathered}`

`\begin{gathered}\\\implies\quad \sf 14* a^(4+2)* b^(-5+1) \\\end{gathered}`

`\begin{gathered}\\\implies\quad \sf 14* a^6* b^(-4)\\\end{gathered}`

`\begin{gathered}\\\implies\quad \sf 14a^6b^(-4) \\\end{gathered}`