What is 2/((sqrt(5*pi))*1.329)(1+1/15)^{(-3)} ?

The solution to 2/((sqrt(5*pi))*1.329)(1+1/15)^{(-3)} is 0.31286…

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simplify 2/((sqrt(5pi))1.329)(1+1/15)^{(-3)}

simplify

\frac{2}{( 5 \cdot π ) \cdot 1.329} (1 + \frac{1}{15})^{(- 3)}

0.31286 \dots

Solution steps

\frac{2}{( 5 π ) \cdot 1.329} (1 + \frac{1}{15})^{(- 3)}

Apply exponent rule:

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

= \frac{2}{1.329 5 π} \cdot \frac{1}{( \frac{1}{15} + 1 ) ^{3}}

\frac{2}{5 π \cdot 1.329} = \frac{2}{5 \cdot 1.329 π}

= \frac{1}{( \frac{1}{15} + 1 ) ^{3}} \cdot \frac{2}{5 \cdot 1.329 π}

\frac{1}{( 1 + \frac{1}{15} ) ^{3}} = \frac{1 5 ^{3}}{1 6 ^{3}}

= \frac{1 5 ^{3}}{1 6 ^{3}} \cdot \frac{2}{5 \cdot 1.329 π}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{2 \cdot 1 5 ^{3}}{5 π \cdot 1.329 \cdot 1 6 ^{3}}

Factor

1 6^{3} : 2^{12}

Factor

1 5^{3} : 3^{3} \cdot 5^{3}

= \frac{3 ^{3} \cdot 5 ^{3} \cdot 2}{2 ^{12} 5 \cdot 1.329 π}

Cancel

\frac{2 \cdot 3 ^{3} \cdot 5 ^{3}}{5 π \cdot 1.329 \cdot 2 ^{12}} : \frac{3 ^{3} \cdot 5 ^{\frac{5}{2}}}{2 ^{11} \cdot 1.329 π}

= \frac{3 ^{3} \cdot 5 ^{\frac{5}{2}}}{2 ^{11} \cdot 1.329 π}

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

= \frac{3 ^{3} \cdot 5 ^{2} 5}{2 ^{11} \cdot 1.329 π}

3^{3} \cdot 5^{2} 5 = 6755

= \frac{675 5}{2 ^{11} \cdot 1.329 π}

2^{11} \cdot 1.329 π = 2721.792 π

= \frac{675 5}{2721.792 π}

Convert element to a decimal form

π = 1.77245 \dots

= \frac{675 5}{1.77245 \dots \cdot 2721.792}

Convert element to a decimal form

5 = 2.23606 \dots

= \frac{675 \cdot 2.23606 \dots}{1.77245 \dots \cdot 2721.792}

Multiply the numbers:

2721.792 \cdot 1.77245 \dots = 4824.25071 \dots

= \frac{675 \cdot 2.23606 \dots}{4824.25071 \dots}

Multiply the numbers:

675 \cdot 2.23606 \dots = 1509.34588 \dots

= \frac{1509.34588 \dots}{4824.25071 \dots}

Divide the numbers:

\frac{1509.34588 \dots}{4824.25071 \dots} = 0.31286 \dots

= 0.31286 \dots

\frac{4 + 3 x}{9 - 2 x}

(x - 3)^{2} (s + 3)^{2}

5 (0.1)^{- 2}

8.29 (e^{- 3.51})

2.48 (1.6 \cdot 1 0^{- 19})

What is 2/((sqrt(5*pi))*1.329)(1+1/15)^{(-3)} ?
The solution to 2/((sqrt(5*pi))*1.329)(1+1/15)^{(-3)} is 0.31286…