What is 1.4*0.75^{-3.7} ?

The solution to 1.4*0.75^{-3.7} is 7/(5*0.75^{3.7)}

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simplify 1.4*0.75^{-3.7}

simplify

1.4 \cdot 0.7 5^{- 3.7}

\frac{7}{5 \cdot 0.7 5 ^{3.7}}

Decimal Notation

4.05883 \dots

Solution steps

1.4 \cdot 0.7 5^{- 3.7}

Apply exponent rule:

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

0.7 5^{- 3.7} = \frac{1}{0.7 5 ^{3.7}}

= 1.4 \cdot \frac{1}{0.7 5 ^{3.7}}

1.4 \cdot \frac{1}{0.7 5 ^{3.7}} = \frac{1.4}{0.7 5 ^{3.7}}

= \frac{1.4}{0.7 5 ^{3.7}}

\frac{1.4}{0.7 5 ^{3.7}} = \frac{14}{10 \cdot 0.7 5 ^{3.7}}

= \frac{14}{10 \cdot 0.7 5 ^{3.7}}

Factor the number:

14 = 2 \cdot 7

= \frac{2 \cdot 7}{10 \cdot 0.7 5 ^{3.7}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 7}{2 \cdot 5 \cdot 0.7 5 ^{3.7}}

Cancel the common factor:

2

= \frac{7}{5 \cdot 0.7 5 ^{3.7}}

(e^{\frac{3 x ^{2}}{2}})^{- 1}

2 u^{2} v w^{2}

7.2 \cdot 1 0^{- 4} \cdot 2

4 - x^{2} y

e^{- 18} \cdot \frac{1 8 ^{x}}{x !}