Question

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

Answer 1

Answer:

$\frac{5}{9}$

Step-by-step explanation:

Using the rules of exponents/ radicals

$a^{\frac{m}{n} }$ ⇔ $\sqrt[n]{a^{m} }$ , $a^{0}$ = 1

$a^{-m}$ = $\frac{1}{a^{m} }$

Given

$27^{-\frac{2}{3} }$ × $25^{\frac{1}{2} }$ × $5^{0}$

= $\frac{1}{27^{\frac{2}{3} } }$ × $\sqrt{25}$ × 1

= $\frac{1}{9}$ × 5 × 1

=$\frac{5}{9}$