What is sqrt(13.2)^{sqrt(13.2)} ?

The solution to sqrt(13.2)^{sqrt(13.2)} is \sqrt[sqrt(10)]{(66^{sqrt(33)})/(5^{sqrt(33))}}

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simplify sqrt(13.2)^{sqrt(13.2)}

simplify

13.2^{13.2}

Decimal Notation

108.54845 \dots

Solution steps

(13.2)^{13.2}

13.2 = \frac{66}{5}

= (13.2)^{\frac{66}{5}}

13.2 = \frac{66}{5}

= (\frac{66}{5})^{\frac{66}{5}}

Apply radical rule:

a = a^{\frac{1}{2}}

= ((\frac{66}{5})^{\frac{1}{2}})^{\frac{66}{5}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (\frac{66}{5})^{\frac{1}{2} \frac{66}{5}}

\frac{1}{2} \frac{66}{5} = \frac{33}{10}

= (\frac{66}{5})^{\frac{33}{10}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{6 6 ^{\frac{33}{10}}}{5 ^{\frac{33}{10}}}

5^{\frac{33}{10}} = 5^{\frac{33}{10}}

= \frac{6 6 ^{\frac{33}{10}}}{5 ^{\frac{33}{10}}}

6 6^{\frac{33}{10}} = 6 6^{\frac{33}{10}}

= \frac{6 6 ^{\frac{33}{10}}}{5 ^{\frac{33}{10}}}

Combine same powers :

= (\frac{6 6 ^{33}}{5 ^{33}})^{\frac{1}{10}}

e^{- x^{2}} (x^{2} e^{2 x})

80000 \cdot e^{- 0.12 (2)}

(\frac{1}{2})^{n} e^{- n}

1021 (1.6 \cdot 1 0^{- 19})

x (a x^{b - 1} y^{1 - b})

What is sqrt(13.2)^{sqrt(13.2)} ?
The solution to sqrt(13.2)^{sqrt(13.2)} is \sqrt[sqrt(10)]{(66^{sqrt(33)})/(5^{sqrt(33))}}