What is \sqrt[3]{3.6*10^{13}} ?

The solution to \sqrt[3]{3.6*10^{13}} is cube root of 10^2}*2000\sqrt[3]{45

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simplify \sqrt[3]{3.6*10^{13}}

simplify

Decimal Notation

33019.27248 \dots

Solution steps

Apply radical rule:

3.6 = \frac{18}{5}

10000 = 2000 \cdot 5

Apply exponent rule:

Factor integer

450 = 5^{2} \cdot 2 \cdot 9

Apply radical rule:

Apply exponent rule:

(a^{b})^{c} = a^{b c}

Refine

Factor integer

2000 = 2^{4} \cdot 5^{3}

Factor integer

10 = 2 \cdot 5

Apply radical rule:

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

Apply radical rule:

Multiply the numbers:

9 \cdot 5 = 45

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

5^{\frac{2}{3}} \cdot 2^{\frac{2}{3}} = (5 \cdot 2)^{\frac{2}{3}}

Multiply the numbers:

5 \cdot 2 = 10

2^{4} = 16

5^{3} = 125

Multiply the numbers:

16 \cdot 125 = 2000

a r g (1 + i)

(\frac{4}{4})^{2}

\frac{1}{4} \div \frac{3}{5}

(6 x + 3 y)^{2}

5 x^{2} + 18 x + 9

What is \sqrt[3]{3.6*10^{13}} ?
The solution to \sqrt[3]{3.6*10^{13}} is cube root of 10^2}*2000\sqrt[3]{45