What is 6.1^{-6}*6.6^{-12} ?

The solution to 6.1^{-6}*6.6^{-12} is 2.84115E-15

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simplify 6.1^{-6}*6.6^{-12}

simplify

6. 1^{- 6} \cdot 6. 6^{- 12}

2.84115 E - 15

Solution steps

6. 1^{- 6} \cdot 6. 6^{- 12}

Apply exponent rule:

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

= 6. 6^{- 12} \cdot \frac{1}{6. 1 ^{6}}

Apply exponent rule:

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

= \frac{1}{6. 1 ^{6}} \cdot \frac{1}{6. 6 ^{12}}

Multiply fractions:

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

= \frac{1 \cdot 1}{6. 1 ^{6} \cdot 6. 6 ^{12}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{6. 6 ^{12} \cdot 6. 1 ^{6}}

6. 1^{6} = 51520.374361

= \frac{1}{6. 6 ^{12} \cdot 51520.374361}

6. 6^{12} = 6831675453.247422

= \frac{1}{6831675453.247422 \cdot 51520.374361}

Multiply the numbers:

51520.374361 \cdot 6831675453.247422 = 3.5197 E 14

= \frac{1}{3.5197 E 14}

Divide the numbers:

\frac{1}{3.5197 E 14} = 2.84115 E - 15

= 2.84115 E - 15

101.3 e^{- 0.00015 (3000)}

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(5 s + 1)^{2} (0.25 s + 1)^{2}

e^{- 1 \cdot 0.5 \cdot 7}