What is (4pi)/5*10^{-1/4} ?

The solution to (4pi)/5*10^{-1/4} is (2^{3/4+1}pi)/(5*5^{1/4)}

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simplify (4pi)/5*10^{-1/4}

simplify

\frac{4 π}{5} \cdot 1 0^{- \frac{1}{4}}

\frac{2 ^{\frac{3}{4} + 1} π}{5 \cdot 5 ^{\frac{1}{4}}}

Decimal Notation

1.41331 \dots

Solution steps

\frac{4 π}{5} \cdot 1 0^{- \frac{1}{4}}

Apply exponent rule:

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

= \frac{4 π}{5} \cdot \frac{1}{1 0 ^{\frac{1}{4}}}

Multiply fractions:

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

= \frac{4 π 1}{5 \cdot 1 0 ^{\frac{1}{4}}}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{4 π}{5 \cdot 1 0 ^{\frac{1}{4}}}

Factor

4 : 2^{2}

Factor

1 0^{\frac{1}{4}} : 2^{\frac{1}{4}} \cdot 5^{\frac{1}{4}}

= \frac{2 ^{2} π}{5 \cdot 2 ^{\frac{1}{4}} \cdot 5 ^{\frac{1}{4}}}

Cancel

\frac{2 ^{2} π}{5 \cdot 2 ^{\frac{1}{4}} \cdot 5 ^{\frac{1}{4}}} : \frac{2 ^{\frac{7}{4}} π}{5 \cdot 5 ^{\frac{1}{4}}}

= \frac{2 ^{\frac{7}{4}} π}{5 \cdot 5 ^{\frac{1}{4}}}

2^{\frac{7}{4}} = 2 \cdot 2^{\frac{3}{4}}

= \frac{2 \cdot 2 ^{\frac{3}{4}} π}{5 \cdot 5 ^{\frac{1}{4}}}

2 \cdot 2^{\frac{3}{4}} π = 2^{1 + \frac{3}{4}} π

= \frac{2 ^{\frac{3}{4} + 1} π}{5 \cdot 5 ^{\frac{1}{4}}}

2^{1 + \frac{3}{4}} = 2 \cdot 2^{\frac{3}{4}}

= \frac{2 \cdot 2 ^{\frac{3}{4}} π}{5 \cdot 5 ^{\frac{1}{4}}}

2 \cdot 2^{\frac{3}{4}} π = 2^{1 + \frac{3}{4}} π

= \frac{2 ^{\frac{3}{4} + 1} π}{5 \cdot 5 ^{\frac{1}{4}}}

(1.248 \cdot 1 0^{8}) \cdot (3.9 \cdot 1 0^{4})

350 \cdot 80 \cdot 1 0^{- 3} \cdot 0.035 \cdot 0.014 \cdot 350

8.49 \cdot 1 0^{- 2}

(3 x^{3}) (7 x^{2})

- 5 e^{- 0.05 (98)}

What is (4pi)/5*10^{-1/4} ?
The solution to (4pi)/5*10^{-1/4} is (2^{3/4+1}pi)/(5*5^{1/4)}