Question

the simplified form of (1/243)^-3/5.

Answer 1

Answer:

given

${( \frac{1}{243} )}^{ - \frac{3 }{5} } = {243}^{ \frac{ 3}{5} } = \sqrt[5]{ {243}^{3} }$

(Always remember that, inverse of negative exponents on denomenator comes on numerator as positive exponent)

Answer 2

Answer:

$\boxed{27}$

Step-by-step explanation:

${( \frac{1}{243} )}^{ - \frac{3 }{5} } \\ = {243}^{ \frac{ 3}{5} } \\ = \sqrt[5]{ {243}^{3} } \\ = {3}^{3} \\ =\boxed{27}$

Reason:

The 243 is now a 3, a much smaller number which makes the remainder easier. And this is why I put the 1/5 factor second. I knew that the 5th root of any number over 1 is a much smaller number.is 27. So your original expression simplifies down to 27.

$Therefore \: the \: simplest \: form \: is \boxed{27}$