State whether the following statements are true or false
Every whole number is an integer.
Simplify: ${(256)^4}^{-\frac{3}{2}}$
prove that
$\frac{x^{a(b-c)}}{x^{b(a-c)}} \div\left(\frac{x^{b}}{x^{a}}\right)^{c}=1$
Fill in the blanks so as to make each of the following statements true (Final answer only)
$(64)^{-\frac{1}{6}}=\ldots \ldots$
Find the values of each of the following correct to three places of decimals, rationalising the denominator if needed and taking $\sqrt{2}=1.414$ $\sqrt{3}=1.732$ and $\sqrt{5}=2.236$
$\frac{1}{\sqrt{3}+\sqrt{2}}$