What is (1+1/6*(4260.4403))^{-0.5}*100 ?

The solution to (1+1/6*(4260.4403))^{-0.5}*100 is (10000sqrt(6))/(sqrt(42664403))

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simplify (1+1/6(4260.4403))^{-0.5}100

simplify

(1 + \frac{1}{6} \cdot (4260.4403))^{- 0.5} \cdot 100

\frac{10000 6}{42664403}

Decimal Notation

3.75009 \dots

Solution steps

(1 + \frac{1}{6} (4260.4403))^{- 0.5} \cdot 100

Apply rule:

(a) = a

(4260.4403) = 4260.4403

= (1 + \frac{1}{6} \cdot 4260.4403)^{- 0.5} \cdot 100

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(1 + \frac{1}{6} \cdot 4260.4403)^{- 0.5} = \frac{1}{( 1 + \frac{1}{6} \cdot 4260.4403 ) ^{0.5}}

= \frac{1}{( 1 + \frac{1}{6} \cdot 4260.4403 ) ^{0.5}} \cdot 100

(1 + \frac{1}{6} \cdot 4260.4403)^{0.5} = \frac{4266440 3 ^{\frac{1}{2}}}{100 6}

= \frac{1}{\frac{4266440 3 ^{\frac{1}{2}}}{100 6}} \cdot 100

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{100 6}{4266440 3 ^{\frac{1}{2}}} \cdot 100

\frac{100 6}{4266440 3 ^{\frac{1}{2}}} \cdot 100 = \frac{10000 6}{4266440 3 ^{\frac{1}{2}}}

= \frac{10000 6}{4266440 3 ^{\frac{1}{2}}}

Apply exponent rule:

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

4266440 3^{\frac{1}{2}} = 42664403

= \frac{10000 6}{42664403}

(3 x)^{2}

3 (e^{2 t})^{2} t \cdot e^{2 t}

e^{8}

e^{- 0.5} \cdot 0.5

What is (1+1/6*(4260.4403))^{-0.5}*100 ?
The solution to (1+1/6*(4260.4403))^{-0.5}*100 is (10000sqrt(6))/(sqrt(42664403))