What is 0.06(1149)*(1+0.0015*1149)^{-1/2} ?

The solution to 0.06(1149)*(1+0.0015*1149)^{-1/2} is (5^{1/2}*1378.8)/(5447^{1/2)}

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simplify 0.06(1149)(1+0.00151149)^{-1/2}

simplify

0.06 (1149) \cdot (1 + 0.0015 \cdot 1149)^{- \frac{1}{2}}

\frac{5 ^{\frac{1}{2}} \cdot 1378.8}{544 7 ^{\frac{1}{2}}}

Decimal Notation

41.77414 \dots

Solution steps

0.06 (1149) (1 + 0.0015 \cdot 1149)^{- \frac{1}{2}}

Apply rule:

(a) = a

(1149) = 1149

= 0.06 \cdot 1149 (1 + 0.0015 \cdot 1149)^{- \frac{1}{2}}

Multiply the numbers:

0.06 \cdot 1149 = 68.94

= 68.94 (1 + 0.0015 \cdot 1149)^{- \frac{1}{2}}

Apply exponent rule:

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

(1 + 0.0015 \cdot 1149)^{- \frac{1}{2}} = \frac{1}{( 1 + 0.0015 \cdot 1149 ) ^{\frac{1}{2}}}

= 68.94 \cdot \frac{1}{( 1 + 0.0015 \cdot 1149 ) ^{\frac{1}{2}}}

(1 + 0.0015 \cdot 1149)^{\frac{1}{2}} = \frac{544 7 ^{\frac{1}{2}}}{20 \cdot 5 ^{\frac{1}{2}}}

= 68.94 \cdot \frac{1}{\frac{544 7 ^{\frac{1}{2}}}{20 \cdot 5 ^{\frac{1}{2}}}}

Apply the fraction rule:

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

= 68.94 \cdot \frac{20 \cdot 5 ^{\frac{1}{2}}}{544 7 ^{\frac{1}{2}}}

68.94 \cdot \frac{20 \cdot 5 ^{\frac{1}{2}}}{544 7 ^{\frac{1}{2}}} = \frac{5 ^{\frac{1}{2}} \cdot 1378.8}{544 7 ^{\frac{1}{2}}}

= \frac{5 ^{\frac{1}{2}} \cdot 1378.8}{544 7 ^{\frac{1}{2}}}

0.0000564 \cdot 1 0^{- 3}

(\frac{12}{10000}) \cdot 2.7 2^{- (\frac{25}{22})}

\frac{( 3.5 \cdot 5 ) ^{2}}{9 ^{2}}

(7 p - 1.2)^{2} \cdot (\frac{p}{2} + 5)^{2}

(0.65227 \cdot 5 (1 - 0.65227) 2) e^{- 0.12 (\frac{3}{12})}

What is 0.06(1149)*(1+0.0015*1149)^{-1/2} ?
The solution to 0.06(1149)*(1+0.0015*1149)^{-1/2} is (5^{1/2}*1378.8)/(5447^{1/2)}