1003164003 | math4u.vsb.cz

SubArea:

Expressions with exponents and radicals

Level:

Project ID:

1003164003

Accepted:

1

Clonable:

0

Easy:

0

Let

a = {[{(2 - \sqrt{3})}^{\frac{1}{2}} + {(2 + \sqrt{3})}^{\frac{1}{2}}]}^{2}, b = \frac{81^{- 1} \cdot \sqrt{3}}{27^{- 2} \cdot \sqrt[4]{9}} .

Comparing the numbers

a^{b}

and

b^{a}

you get:

a^{b} > b^{a}

a^{b} < b^{a}

a^{b} \leq b^{a}

a^{b} = b^{a}