What is sqrt(2)*sqrt(2)*sqrt(2)*sqrt(2) ?

The solution to sqrt(2)*sqrt(2)*sqrt(2)*sqrt(2) is 4

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simplify sqrt(2)sqrt(2)sqrt(2)*sqrt(2)

simplify

2 \cdot 2 \cdot 2 \cdot 2

4

Solution steps

2222

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2222 = 2^{\frac{1}{2}} \cdot 2^{\frac{1}{2}} \cdot 2^{\frac{1}{2}} \cdot 2^{\frac{1}{2}} = 2^{\frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2}}

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

Combine the fractions

\frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} : 2

= 2^{2}

2^{2} = 4

= 4

\frac{4 - x ^{2}}{1 + x}

e^{- 4 x} (e^{- 4 x})

x^{2} + 6 x

What is sqrt(2)*sqrt(2)*sqrt(2)*sqrt(2) ?
The solution to sqrt(2)*sqrt(2)*sqrt(2)*sqrt(2) is 4