Question

value of [(3/5)^3 X (3/5)^8] ÷ [(3/5)^2 X (3/5)^4] in exponential form

Answer 1

$\huge\fcolorbox{red}{cyan}{Answer}$

$\large\boxed{\frac{243}{3125}}$

Step-by-step explanation:

Law of exponent :-

• $\bf\color{orange}{a^x \times a^y = a^{x+y}}$

• $\bf\color{purple}{a^x \div a^y = a^{x-y}}$

$[(\frac{3}{5})³ \times (\frac{3}{5})^8] \div [(\frac{3}{5})^2 \times (\frac{3}{5})^4] \\ => \bf{Using \: Law \: Of \: Exponents} \\ => [(\frac{3}{5})^{3+8}] \div [(\frac{3}{5})^{4+2}] \\ => (\frac{3}{5})^{11} \div (\frac{3}{5})^6 \\ => (\frac{3}{5})^{11-6} \\ => \boxed{(\frac{3}{5})^5 = \frac{243}{3125}}$

Hope it helped