What is 57.3*10^{-2}(-4521)^{-4} ?

The solution to 57.3*10^{-2}(-4521)^{-4} is (191)/(1507^4*27000)

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simplify 57.3*10^{-2}(-4521)^{-4}

simplify

57.3 \cdot 1 0^{- 2} (- 4521)^{- 4}

\frac{191}{150 7 ^{4} \cdot 27000}

Decimal Notation

1.37157 E - 15

Solution steps

57.3 \cdot 1 0^{- 2} (- 4521)^{- 4}

1 0^{- 2} = \frac{1}{100}

= 57.3 \cdot \frac{1}{100} (- 4521)^{- 4}

Apply exponent rule:

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

(- 4521)^{- 4} = \frac{1}{( - 4521 ) ^{4}}

= 57.3 \cdot \frac{1}{100} \cdot \frac{1}{( - 4521 ) ^{4}}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 4521)^{4} = 452 1^{4}

= 57.3 \cdot \frac{1}{100} \cdot \frac{1}{452 1 ^{4}}

57.3 \cdot \frac{1}{100} \cdot \frac{1}{452 1 ^{4}} = \frac{57.3}{452 1 ^{4} \cdot 100}

= \frac{57.3}{452 1 ^{4} \cdot 100}

\frac{57.3}{452 1 ^{4} \cdot 100} = \frac{573}{1000 \cdot 452 1 ^{4}}

= \frac{573}{1000 \cdot 452 1 ^{4}}

Factor the number:

573 = 3 \cdot 191

= \frac{3 \cdot 191}{1000 \cdot 452 1 ^{4}}

Factor

452 1^{4} : 3^{4} \cdot 150 7^{4}

= \frac{3 \cdot 191}{1000 \cdot 3 ^{4} \cdot 150 7 ^{4}}

\frac{3}{3 ^{4}} = \frac{1}{3 ^{3}}

= \frac{191}{1000 \cdot 3 ^{3} \cdot 150 7 ^{4}}

1000 \cdot 3^{3} \cdot 150 7^{4} = 150 7^{4} \cdot 27000

= \frac{191}{150 7 ^{4} \cdot 27000}

20 \cdot e^{- 0.8 t}

- 120 e^{- 2 t} \cdot 6 e^{- 2 t}

e^{- 3 l n (x^{2} + 2)}

(2^{4 0^{\circ}})^{3}

(e^{- l n ∣ x ∣})^{1}

What is 57.3*10^{-2}(-4521)^{-4} ?
The solution to 57.3*10^{-2}(-4521)^{-4} is (191)/(1507^4*27000)