What is 4pi(4*0.1^3)(e^{0.1^4+1}) ?

The solution to 4pi(4*0.1^3)(e^{0.1^4+1}) is 0.13664…

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simplify 4pi(4*0.1^3)(e^{0.1^4+1})

simplify

4 π (4 \cdot 0. 1^{3}) (e^{0. 1^{4} + 1})

0.13664 \dots

Solution steps

4 π (4 \cdot 0. 1^{3}) (e^{0. 1^{4} + 1})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

4 \cdot 4 = 4^{1 + 1}

= π 4^{1 + 1} \cdot 0. 1^{3} e^{0. 1^{4} + 1}

Add the numbers:

1 + 1 = 2

= π 4^{2} \cdot 0. 1^{3} e^{0. 1^{4} + 1}

e^{0. 1^{4} + 1} = e^{1.0001}

= 4^{2} \cdot 0. 1^{3} π e^{1.0001}

4^{2} = 16

= 16 \cdot 0. 1^{3} π e^{1.0001}

0. 1^{3} = 0.001

= 16 \cdot 0.001 π e^{1.0001}

e^{1.0001} = 2.71855 \dots

= 16 \cdot 0.001 \cdot 2.71855 \dots π

Multiply the numbers:

16 \cdot 0.001 \cdot 2.71855 \dots = 0.04349 \dots

= 0.04349 \dots π

Multiply the numbers:

0.04349 \dots \cdot 3.14159 \dots = 0.13664 \dots

= 0.13664 \dots

- lo g_{10} (9.3) 1 0^{- 11}

\frac{d ^{2}}{d x ^{2}} ((y) (2 x e^{- x}))

(2.82 \cdot 1 0^{- 5}) (4.89 \cdot 1 0^{10})

9.79 \cdot 1 0^{- 3}

e^{- 36.17307389}

What is 4pi(4*0.1^3)(e^{0.1^4+1}) ?
The solution to 4pi(4*0.1^3)(e^{0.1^4+1}) is 0.13664…