Simplify the following:
$\frac{2 \sqrt{3}}{3}-\frac{\sqrt{3}}{6}$
$\frac{\sqrt{3}}{4}$
$\frac{\sqrt{5}}{2}$
$\frac{\sqrt{3}}{2}$
$\frac{\sqrt{7}}{8}$
State whether the following statements are true or false
Every whole number is a natural number.
Prove that
$\left(\frac{x^{a}}{x^{b}}\right)^{a+b} \times\left(\frac{x^{b}}{x^{c}}\right)^{b+c} \times\left(\frac{x^{c}}{x^{a}}\right)^{c+a}=1$
Find the value
$(625)^{-\frac{3}{4}}$
Represent geometrically numbers on the number line:
$\sqrt{4.5}$
Find the value of $\frac{4}{(216)^{-\frac{2}{3}}}+\frac{1}{(256)^{-\frac{3}{4}}}+\frac{2}{(243)^{-\frac{1}{5}}}$