Question

Help ASAP!!!!!!! 20 points!!! Simplify the expression 7a^4b^-5 x 2a^2b

Answer 1

Answer:-

$\longrightarrow \sf \: 14a^6b^{-4}$

Solution:-

$\begin{gathered}\\\implies\quad \sf 7a^4b^{-5} \times2a^2b \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf 7\times a^4\times b^{-5} \times2\times a^2\times b \\\end{gathered}$

Grouping the like terms

$\begin{gathered}\\\implies\quad \sf (7\times2)\times (a^4\times a^2)\times(b^{-5} \times b )\\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf 14\times a^{4+2}\times b^{-5+1} \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf 14\times a^6\times b^{-4}\\\end{gathered}$

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