What is sqrt(3)^{sqrt(20-\sqrt{16)}} ?

The solution to sqrt(3)^{sqrt(20-\sqrt{16)}} is 9

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simplify sqrt(3)^{sqrt(20-\sqrt{16)}}

simplify

3^{20 - 16}

9

Solution steps

(3)^{20 - 16}

20 - 16 = 4

= (3)^{4}

Apply radical rule:

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

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

Apply exponent rule:

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

= 3^{\frac{1}{2} \cdot 4}

\frac{1}{2} \cdot 4 = 2

= 3^{2}

3^{2} = 9

= 9

Γ (6)

121 x^{2} - 49

\frac{2}{5} \times \frac{2}{5}

- 7 \times (- 2)

4 \times 1 0^{- 3}

What is sqrt(3)^{sqrt(20-\sqrt{16)}} ?
The solution to sqrt(3)^{sqrt(20-\sqrt{16)}} is 9