What is 3.1^{-7}*2/(5.1^{-9)} ?

The solution to 3.1^{-7}*2/(5.1^{-9)} is 1696.79635…

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simplify 3.1^{-7}*2/(5.1^{-9)}

simplify

3. 1^{- 7} \cdot \frac{2}{5. 1 ^{- 9}}

1696.79635 \dots

Solution steps

3. 1^{- 7} \cdot \frac{2}{5. 1 ^{- 9}}

Apply exponent rule:

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

= \frac{1}{3. 1 ^{7}} \cdot \frac{2}{5. 1 ^{- 9}}

\frac{2}{5. 1 ^{- 9}} = 2 \cdot 5. 1^{9}

= 2 \cdot 5. 1^{9} \cdot \frac{1}{3. 1 ^{7}}

Multiply fractions:

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

= \frac{1 \cdot 2 \cdot 5. 1 ^{9}}{3. 1 ^{7}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 \cdot 5. 1 ^{9}}{3. 1 ^{7}}

2 \cdot 5. 1^{9} = 4668330.34618 \dots

= \frac{4668330.34618 \dots}{3. 1 ^{7}}

3. 1^{7} = 2751.26141 \dots

= \frac{4668330.34618 \dots}{2751.26141 \dots}

Divide the numbers:

\frac{4668330.34618 \dots}{2751.26141 \dots} = 1696.79635 \dots

= 1696.79635 \dots

x + 1^{^{'}}

e^{a t} e^{- s t}

\frac{1}{2}^{3}

\frac{3 - 3}{5 - 3}

What is 3.1^{-7}*2/(5.1^{-9)} ?
The solution to 3.1^{-7}*2/(5.1^{-9)} is 1696.79635…