What is 2*(4*10^{-7})*4.6*(sqrt(0.7^2+0.4^2))/(0.7*0.4)*1000000 ?

The solution to 2*(4*10^{-7})*4.6*(sqrt(0.7^2+0.4^2))/(0.7*0.4)*1000000 is 10.59611…

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simplify 2(410^{-7})4.6(sqrt(0.7^2+0.4^2))/(0.70.4)1000000

simplify

2 \cdot (4 \cdot 1 0^{- 7}) \cdot 4.6 \cdot \frac{0. 7 ^{2} + 0. 4 ^{2}}{0.7 \cdot 0.4} \cdot 1000000

10.59611 \dots

Solution steps

2 (4 \cdot 1 0^{- 7}) \cdot 4.6 \cdot \frac{0. 7 ^{2} + 0. 4 ^{2}}{0.7 \cdot 0.4} \cdot 1000000

Apply exponent rule:

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

= 2 \cdot 4 \cdot 1000000 \cdot 4.6 \cdot \frac{1}{1 0 ^{7}} \cdot \frac{0. 7 ^{2} + 0. 4 ^{2}}{0.7 \cdot 0.4}

\frac{0. 7 ^{2} + 0. 4 ^{2}}{0.7 \cdot 0.4} = \frac{0.65}{0.28}

= 2 \cdot 4 \cdot 1000000 \cdot 4.6 \cdot \frac{1}{1 0 ^{7}} \cdot \frac{0.65}{0.28}

Multiply fractions:

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

= 4.6 \cdot \frac{1 \cdot 2 \cdot 4 \cdot 1000000 0.65}{1 0 ^{7} \cdot 0.28}

\frac{1 \cdot 0.65 \cdot 2 \cdot 4 \cdot 1000000}{1 0 ^{7} \cdot 0.28} = 2.30350 \dots

= 2.30350 \dots \cdot 4.6

Multiply the numbers:

4.6 \cdot 2.30350 \dots = 10.59611 \dots

= 10.59611 \dots

\frac{\partial}{\partial y} ((z) (x + 1) z^{2} a z)

(1 + e^{- 5})^{- 1}

\frac{e ^{t}}{e ^{- 2 t}}

1 0^{- 5} \cdot \frac{0.011}{0.2}

(20.25 \cdot 1 0^{- 3})^{2} (50.5 \cdot 1 0^{- 3})

What is 2*(4*10^{-7})*4.6*(sqrt(0.7^2+0.4^2))/(0.7*0.4)*1000000 ?
The solution to 2*(4*10^{-7})*4.6*(sqrt(0.7^2+0.4^2))/(0.7*0.4)*1000000 is 10.59611…