What is (sqrt((1-2(38.4))/(38.4)))^4 ?

The solution to (sqrt((1-2(38.4))/(38.4)))^4 is 3.89651…

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simplify (sqrt((1-2(38.4))/(38.4)))^4

simplify

(\frac{1 - 2 ( 38.4 )}{38.4})^{4}

3.89651 \dots

Solution steps

(\frac{1 - 2 ( 38.4 )}{38.4})^{4}

Apply radical rule:

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

= ((\frac{1 - 2 \cdot 38.4}{38.4})^{\frac{1}{2}})^{4}

Apply exponent rule:

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

= (\frac{1 - 2 \cdot 38.4}{38.4})^{\frac{1}{2} \cdot 4}

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

= (\frac{1 - 2 \cdot 38.4}{38.4})^{2}

\frac{1 - 2 \cdot 38.4}{38.4} = - \frac{75.8}{38.4}

= (- \frac{75.8}{38.4})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- \frac{75.8}{38.4})^{2} = (\frac{75.8}{38.4})^{2}

= (\frac{75.8}{38.4})^{2}

Apply exponent rule:

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

= \frac{75. 8 ^{2}}{38. 4 ^{2}}

75. 8^{2} = 5745.64

= \frac{5745.64}{38. 4 ^{2}}

38. 4^{2} = 1474.56

= \frac{5745.64}{1474.56}

Divide the numbers:

\frac{5745.64}{1474.56} = 3.89651 \dots

= 3.89651 \dots

(2.14 (10)^{- 2}) (4.28 (10)^{- 2})^{2}

e^{- 2 x} e^{- y}

e^{- 2 x^{2}}

e^{- 2 t} (e^{- t + 1} H (t - 1))^{'}

e^{5 x} e^{5 x}

What is (sqrt((1-2(38.4))/(38.4)))^4 ?
The solution to (sqrt((1-2(38.4))/(38.4)))^4 is 3.89651…