What is 10pi10^9sqrt(2.81*10^{-17)(1)-1} ?

The solution to 10pi10^9sqrt(2.81*10^{-17)(1)-1} is 31415926535.89793i

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simplify 10pi10^9sqrt(2.81*10^{-17)(1)-1}

simplify

10 π 1 0^{9} 2.81 \cdot 1 0^{- 17} (1) - 1

31415926535.89793 i

Solution steps

10 π 1 0^{9} 2.81 \cdot 1 0^{- 17} (1) - 1

Apply exponent rule:

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

10 \cdot 1 0^{9} = 1 0^{1 + 9}

= π 1 0^{1 + 9} 2.81 \cdot 1 0^{- 17} \cdot 1 - 1

Add the numbers:

1 + 9 = 10

= π 1 0^{10} 2.81 \cdot 1 0^{- 17} \cdot 1 - 1

2.81 \cdot 1 0^{- 17} \cdot 1 - 1 = i

= 1 0^{10} πi

Convert element to a decimal form

1 0^{10} = 10000000000

= 10000000000 πi

Multiply the numbers:

3.14159 \dots \cdot 10000000000 = 31415926535.89793

= 31415926535.89793 i

e^{- 500000}

5 r^{2} s^{2} (r - 3 s)

10000 (1 + 0.03)^{(- 16)}

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

What is 10pi10^9sqrt(2.81*10^{-17)(1)-1} ?
The solution to 10pi10^9sqrt(2.81*10^{-17)(1)-1} is 31415926535.89793i