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

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

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

simplify

2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

42

Decimal Notation

5.65685 \dots

Solution steps

22222

Apply exponent rule:

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

22222 = 2^{\frac{1}{2}} \cdot 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} + \frac{1}{2}}

= 2^{\frac{1}{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} + \frac{1}{2} : \frac{5}{2}

= 2^{\frac{5}{2}}

2^{\frac{5}{2}} = 2^{2 + \frac{1}{2}}

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

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

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

Refine

= 2^{2} 2

2^{2} = 4

= 42

e^{- 0.74}

e^{- 0.53}

e^{- 0.54}

e^{- 0.51}

(0.4 \times 1 0^{- 6}) (0.7 \times 1 0^{- 2})

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