Exponents and P...

The product $$\sqrt [3]{2} . \sqrt [4]{2} . \sqrt [12]{32}$$ equals.

Find the value of $$m$$ for which: $$100^{m} \div 100^{4} = 100^{8}$$

Fill in the blanks:

Find the value of $$x$$ for which $$(50^{3})^{x} = (50^{24})$$

Find the value of $$m$$, such that $$(-2^{m})^{6} = (-2)^{60}$$

How many non zero and positive real numbers x are there such that $$x^{x^\sqrt x} = (x \sqrt x )^x$$? 

Simplify: $$5^{4} \div 5^{3}$$

Find the value of $$(-5^{5})^{3}$$

Find the value of: $$[(-4^{2})^{3}]^{2}$$

Place the following numbers with the given labels in order of greatest to least.