What is (6^{-6})^60.6^{-6} ?

The solution to (6^{-6})^60.6^{-6} is 2.07801E-27

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simplify (6^{-6})^60.6^{-6}

simplify

(6^{- 6})^{6} 0. 6^{- 6}

2.07801 E - 27

Solution steps

(6^{- 6})^{6} \cdot 0. 6^{- 6}

(6^{- 6})^{6} : 6^{- 36}

= 6^{- 36} \cdot 0. 6^{- 6}

Apply exponent rule:

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

= 6^{- 36} \cdot \frac{1}{0. 6 ^{6}}

Apply exponent rule:

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

6^{- 36} = \frac{1}{6 ^{36}}

= \frac{1}{6 ^{36}} \cdot \frac{1}{0. 6 ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 1}{6 ^{36} \cdot 0. 6 ^{6}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{6 ^{36} \cdot 0. 6 ^{6}}

0. 6^{6} = 0.046656

= \frac{1}{6 ^{36} \cdot 0.046656}

Convert element to a decimal form

6^{36} = 1.03144 E 28

= \frac{1}{0.046656 \cdot 1.03144 E 28}

Multiply the numbers:

1.03144 E 28 \cdot 0.046656 = 4.8123 E 26

= \frac{1}{4.8123 E 26}

Divide the numbers:

\frac{1}{4.8123 E 26} = 2.07801 E - 27

= 2.07801 E - 27

800 \cdot (8.85 \cdot 1 0^{- 12})

- 2 e^{- 0.1733 (2)}

- \frac{1018}{28}

4^{2} \cdot e^{- 4}

(100 \cdot 1 0^{- 3}) (80.16)