What is sqrt(4^{2log_{3)(2)}} ?

The solution to sqrt(4^{2log_{3)(2)}} is 4^{log_{3}(2)}

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simplify sqrt(4^{2log_{3)(2)}}

simplify

4^{2 l o g_{3} (2)}

4^{l o g_{3} (2)}

Decimal Notation

2.39804 \dots

Solution steps

4^{2 l o g_{3} (2)}

Apply radical rule:

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

= (4^{2 l o g_{3} (2)})^{\frac{1}{2}}

Apply exponent rule:

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

= 4^{2 l o g_{3} (2) \frac{1}{2}}

2 lo g_{3} (2) \frac{1}{2} = lo g_{3} (2)

= 4^{l o g_{3} (2)}

3 \cdot 8.85 \cdot 1 0^{- 12}

50 e^{- 0.052680257}

1.96 \cdot 1 0^{- 3} \cdot 1.6358

+ 51.2 \cdot 1 0^{- 19}

- 0.96 e^{- 0.006 t}

What is sqrt(4^{2log_{3)(2)}} ?
The solution to sqrt(4^{2log_{3)(2)}} is 4^{log_{3}(2)}