What is 0.32*15000*(1+(4*15000)/(10000))^{-0.5} ?

The solution to 0.32*15000*(1+(4*15000)/(10000))^{-0.5} is (4800)/(7^{0.5)}

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simplify 0.3215000(1+(4*15000)/(10000))^{-0.5}

simplify

0.32 \cdot 15000 \cdot (1 + \frac{4 \cdot 15000}{10000})^{- 0.5}

\frac{4800}{7 ^{0.5}}

Decimal Notation

1814.22947 \dots

Solution steps

0.32 \cdot 15000 (1 + \frac{4 \cdot 15000}{10000})^{- 0.5}

Multiply the numbers:

0.32 \cdot 15000 = 4800

= 4800 (1 + \frac{4 \cdot 15000}{10000})^{- 0.5}

Apply exponent rule:

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

(1 + \frac{4 \cdot 15000}{10000})^{- 0.5} = \frac{1}{( 1 + \frac{4 \cdot 15000}{10000} ) ^{0.5}}

= 4800 \cdot \frac{1}{( 1 + \frac{4 \cdot 15000}{10000} ) ^{0.5}}

1 + \frac{4 \cdot 15000}{10000} = 7

= 4800 \cdot \frac{1}{7 ^{0.5}}

4800 \cdot \frac{1}{7 ^{0.5}} = \frac{4800}{7 ^{0.5}}

= \frac{4800}{7 ^{0.5}}

\frac{3}{7 z}

((\frac{a}{b})^{2})^{5} (\frac{a ^{3} b ^{2}}{c ^{3}})^{3^{^{'}}}

(5 x^{2} y) (3 x y^{5})

e^{- k \cdot 0}

9.7 \cdot 1 0^{- 7}

What is 0.32*15000*(1+(4*15000)/(10000))^{-0.5} ?
The solution to 0.32*15000*(1+(4*15000)/(10000))^{-0.5} is (4800)/(7^{0.5)}