Question

Simplify
${a}^{3} {b}^{ - 5} \times {a}^{4} {b}^{2}$
​

Answer 1

$a^3 \times b^{-5} \times a^4 \times b^2$

$a^3 \times a^4 \times b^2 \times b^{-5}$

$a^{3+4} \times b^{2+(-5)}$

$a^7 \times b^{2-5}$

$a^7 \times b^{-3}$

$\frac{1}{b^3}a^7$

$\frac{1\times \:a^7}{b^3}$

$\displaystyle \frac{a^7}{b^3}$