Question

find the value of 3/5 power of 1×(3/5)power of 2÷(3/5)power of 4​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

5/3

Step-by-step explanation:

$\therefore \large{(\frac{3}{5})^1 \times (\frac{3}{5})^2 \div (\frac{3}{5})^4 }$

Using Law of Exponent,

$a^m \div a^n = a^{m - n}$

We get,

$\implies \large{(\frac{3}{5})^1 \times (\frac{3}{5})^{2 - 4}}$

$\implies \large{(\frac{3}{5})^1 \times (\frac{3}{5})^{-2} }$

Using Law of Exponent,

$a^m \times a^n = a^{m + n}$

We get,

$\implies \large{ (\frac{3}{5})^{1 + (-2)} }$

$\implies \large{ (\frac{3}{5})^{-1} }$

Using Law of Exponent,

$\large{ (\frac{a}{b})^{-1} = \frac{b}{a} }$

We get,

$\implies \bold{\large{ \frac{5}{3} }}$