What is (2560000)^{1/4}(0.0147)^{1/2}(27)^{1/2} ?

The solution to (2560000)^{1/4}(0.0147)^{1/2}(27)^{1/2} is 3^{1/2}*(42*3^{1/2})/5

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simplify (2560000)^{1/4}(0.0147)^{1/2}(27)^{1/2}

simplify

(2560000)^{\frac{1}{4}} (0.0147)^{\frac{1}{2}} (27)^{\frac{1}{2}}

3^{\frac{1}{2}} \cdot \frac{42 \cdot 3 ^{\frac{1}{2}}}{5}

Decimal Notation

25.2

Solution steps

256000 0^{\frac{1}{4}} \cdot 0.014 7^{\frac{1}{2}} \cdot 2 7^{\frac{1}{2}}

256000 0^{\frac{1}{4}} = 40

= 40 \cdot 0.014 7^{\frac{1}{2}} \cdot 2 7^{\frac{1}{2}}

0.014 7^{\frac{1}{2}} = \frac{7 \cdot 3 ^{\frac{1}{2}}}{100}

= 40 \cdot \frac{7 \cdot 3 ^{\frac{1}{2}}}{100} \cdot 2 7^{\frac{1}{2}}

2 7^{\frac{1}{2}} = 3 \cdot 3^{\frac{1}{2}}

= 40 \cdot \frac{7 \cdot 3 ^{\frac{1}{2}}}{100} \cdot 3 \cdot 3^{\frac{1}{2}}

Multiply the numbers:

40 \cdot 3 = 120

= 120 \cdot \frac{7 \cdot 3 ^{\frac{1}{2}}}{100} \cdot 3^{\frac{1}{2}}

= 3^{\frac{1}{2}} \cdot 120 \cdot \frac{7 \cdot 3 ^{\frac{1}{2}}}{100}

3^{\frac{1}{2}} \cdot 120 \cdot \frac{7 \cdot 3 ^{\frac{1}{2}}}{100} = 3^{\frac{1}{2}} \cdot \frac{42 \cdot 3 ^{\frac{1}{2}}}{5}

= 3^{\frac{1}{2}} \cdot \frac{42 \cdot 3 ^{\frac{1}{2}}}{5}

(2 x^{2}) (3 x)

1 + x^{2}^{^{'}}

\frac{e ^{- x}}{e ^{- 3 x}}

15^{3}

What is (2560000)^{1/4}(0.0147)^{1/2}(27)^{1/2} ?
The solution to (2560000)^{1/4}(0.0147)^{1/2}(27)^{1/2} is 3^{1/2}*(42*3^{1/2})/5