What is \sqrt[3]{36}*(1.64*(0.082)^2)^{1/3} ?

The solution to \sqrt[3]{36}*(1.64*(0.082)^2)^{1/3} is (41)/(25*25^{1/3)*4^{2/3}}\sqrt[3]{36}

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simplify \sqrt[3]{36}(1.64(0.082)^2)^{1/3}

simplify

Decimal Notation

0.73495 \dots

Solution steps

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(1.64 \cdot 0.08 2^{2})^{\frac{1}{3}} = 1.6 4^{\frac{1}{3}} (0.08 2^{2})^{\frac{1}{3}}

1.64 = \frac{41}{25}

(0.08 2^{2})^{\frac{1}{3}} = \frac{4 1 ^{\frac{2}{3}}}{25 \cdot 4 ^{\frac{2}{3}}}

(\frac{41}{25})^{\frac{1}{3}} \frac{4 1 ^{\frac{2}{3}}}{25 \cdot 4 ^{\frac{2}{3}}} = \frac{41}{25 \cdot 2 5 ^{\frac{1}{3}} \cdot 4 ^{\frac{2}{3}}}

\frac{5 + x}{5 + x}

\frac{π ( 0.1 ) ^{2}}{4} \cdot 3 \cdot 1 0^{- 3}

470 \cdot 60 \cdot (4.7 \cdot 1 0^{- 4})

What is \sqrt[3]{36}*(1.64*(0.082)^2)^{1/3} ?
The solution to \sqrt[3]{36}*(1.64*(0.082)^2)^{1/3} is (41)/(25*25^{1/3)*4^{2/3}}\sqrt[3]{36}