What is simplify-1.6*10^{-19}(-14159) ?

The solution to simplify-1.6*10^{-19}(-14159) is (14159)/(5^{20)*65536}

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simplify-1.6*10^{-19}(-14159)

simplify

- 1.6 \cdot 1 0^{- 19} (- 14159)

\frac{14159}{5 ^{20} \cdot 65536}

Decimal Notation

2.26544 E - 15

Solution steps

- 1.6 \cdot 1 0^{- 19} (- 14159)

Multiply the numbers:

1.6 (- 14159) = - 22654.4

= - (- 22654.4) \cdot 1 0^{- 19}

Remove parentheses:

- (- 22654.4) \cdot 1 0^{- 19} = 22654.4 \cdot 1 0^{- 19}

= 22654.4 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 22654.4

Apply exponent rule:

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

1 0^{- 19} = \frac{1}{1 0 ^{19}}

= \frac{1}{1 0 ^{19}} \cdot 22654.4

\frac{1}{1 0 ^{19}} \cdot 22654.4 = \frac{22654.4}{1 0 ^{19}}

= \frac{22654.4}{1 0 ^{19}}

\frac{22654.4}{1 0 ^{19}} = \frac{226544}{10 \cdot 1 0 ^{19}}

= \frac{226544}{10 \cdot 1 0 ^{19}}

10 \cdot 1 0^{19} = 1 0^{20}

= \frac{226544}{1 0 ^{20}}

Factor

226544 : 2^{4} \cdot 14159

= \frac{2 ^{4} \cdot 14159}{1 0 ^{20}}

Factor

1 0^{20} : 2^{20} \cdot 5^{20}

= \frac{2 ^{4} \cdot 14159}{2 ^{20} \cdot 5 ^{20}}

\frac{2 ^{4}}{2 ^{20}} = \frac{1}{2 ^{16}}

= \frac{14159}{2 ^{16} \cdot 5 ^{20}}

2^{16} = 65536

= \frac{14159}{5 ^{20} \cdot 65536}

x^{4} y^{4} (x^{2} - y^{2})

6.362464513 x 1 0^{- 4}

(3 - x)

What is simplify-1.6*10^{-19}(-14159) ?
The solution to simplify-1.6*10^{-19}(-14159) is (14159)/(5^{20)*65536}