Question

Simplify 27^(-2/3) x 25^(1/2) x 5^0 9 5 9/5 5/9

Answer 1

`(5)/(9)`

Explanation:

Using the rules of exponents/ radicals

`a^{(m)/(n) }` ⇔
`\sqrt[n]{a^(m) }` ,
`a^(0)` = 1

`a^(-m)` =
`(1)/(a^(m) )`

Given

`27^{-(2)/(3) }` ×
`25^{(1)/(2) }` ×
`5^(0)`

=
`\frac{1}{27^{(2)/(3) } }` ×
`√(25)` × 1

=
`(1)/(9)` × 5 × 1

=
`(5)/(9)`