What is sqrt(13.3)^{sqrt(13.3)} ?

The solution to sqrt(13.3)^{sqrt(13.3)} is \sqrt[2sqrt(10)]{(133^{sqrt(133)})/(10^{sqrt(133))}}

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simplify sqrt(13.3)^{sqrt(13.3)}

simplify

13.3^{13.3}

Decimal Notation

112.02025 \dots

Solution steps

(13.3)^{13.3}

13.3 = \frac{133}{10}

= (13.3)^{\frac{133}{10}}

13.3 = \frac{133}{10}

= (\frac{133}{10})^{\frac{133}{10}}

Apply radical rule:

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

= ((\frac{133}{10})^{\frac{1}{2}})^{\frac{133}{10}}

Apply exponent rule:

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

= (\frac{133}{10})^{\frac{1}{2} \frac{133}{10}}

\frac{1}{2} \frac{133}{10} = \frac{133}{2 10}

= (\frac{133}{10})^{\frac{133}{2 10}}

Apply exponent rule:

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

= \frac{13 3 ^{\frac{133}{2 10}}}{1 0 ^{\frac{133}{2 10}}}

Combine same powers :

e^{- a (t)} cos (wt) u (t)

1.048576 \cdot 1 0^{- 0.4}

ln (e) e^{- 2}

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

What is sqrt(13.3)^{sqrt(13.3)} ?
The solution to sqrt(13.3)^{sqrt(13.3)} is \sqrt[2sqrt(10)]{(133^{sqrt(133)})/(10^{sqrt(133))}}