Question

Simplify 243/3125 the whole power 4/5​

Answer 1

Answer:

$\frac{81}{625}$

Step-by-step explanation:

$(\frac{234}{3125})^{\frac{4}{5} }$

$=(\frac{3^5}{5^5} )^\frac{4}{5}$

⇒ $[(\frac{3}{5})^5]^\frac{4}{5}$

⇒ $(\frac{3}{5})^{5\times\frac{4}{5}}$ $($∵ $(a^m)^n=a^{mn})$

⇒ $(\frac{3}{5})^4$

⇒ $\frac{3^4}{5^4}$

⇒ $\frac{81}{625}$

∴ $(\frac{234}{3125})^{\frac{4}{5} }=\frac{81}{625}$