What is (1.2)*0.3^{-0.25}*0.9^{-0.75} ?

The solution to (1.2)*0.3^{-0.25}*0.9^{-0.75} is 6/(5*0.3^{0.25)*0.9^{0.75}}

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simplify (1.2)0.3^{-0.25}0.9^{-0.75}

simplify

(1.2) \cdot 0. 3^{- 0.25} \cdot 0. 9^{- 0.75}

\frac{6}{5 \cdot 0. 3 ^{0.25} \cdot 0. 9 ^{0.75}}

Decimal Notation

1.75476 \dots

Solution steps

(1.2) \cdot 0. 3^{- 0.25} \cdot 0. 9^{- 0.75}

Apply rule:

(a) = a

(1.2) = 1.2

= 1.2 \cdot 0. 3^{- 0.25} \cdot 0. 9^{- 0.75}

Apply exponent rule:

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

0. 3^{- 0.25} = \frac{1}{0. 3 ^{0.25}}

= 1.2 \cdot \frac{1}{0. 3 ^{0.25}} \cdot 0. 9^{- 0.75}

Apply exponent rule:

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

0. 9^{- 0.75} = \frac{1}{0. 9 ^{0.75}}

= 1.2 \cdot \frac{1}{0. 3 ^{0.25}} \cdot \frac{1}{0. 9 ^{0.75}}

1.2 \cdot \frac{1}{0. 3 ^{0.25}} \cdot \frac{1}{0. 9 ^{0.75}} = \frac{1.2}{0. 3 ^{0.25} \cdot 0. 9 ^{0.75}}

= \frac{1.2}{0. 3 ^{0.25} \cdot 0. 9 ^{0.75}}

\frac{1.2}{0. 3 ^{0.25} \cdot 0. 9 ^{0.75}} = \frac{12}{10 \cdot 0. 3 ^{0.25} \cdot 0. 9 ^{0.75}}

= \frac{12}{10 \cdot 0. 3 ^{0.25} \cdot 0. 9 ^{0.75}}

Factor the number:

12 = 2 \cdot 6

= \frac{2 \cdot 6}{10 \cdot 0. 3 ^{0.25} \cdot 0. 9 ^{0.75}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 6}{2 \cdot 5 \cdot 0. 3 ^{0.25} \cdot 0. 9 ^{0.75}}

Cancel the common factor:

2

= \frac{6}{5 \cdot 0. 3 ^{0.25} \cdot 0. 9 ^{0.75}}

x e^{- \frac{1}{2} x}

(6.83 \cdot 1 0^{- 6}) \cdot (3.2 \cdot 1 0^{- 4})^{'}

δ (x - x^{0}) e^{- 10 x}

1.6 x (1 + 0.018848)^{- 3}

What is (1.2)*0.3^{-0.25}*0.9^{-0.75} ?
The solution to (1.2)*0.3^{-0.25}*0.9^{-0.75} is 6/(5*0.3^{0.25)*0.9^{0.75}}