What is (2^{1/2}221)(3^{1/3}331)(4^{1/6}461) ?

The solution to (2^{1/2}221)(3^{1/3}331)(4^{1/6}461) is 2^{5/6}*3^{1/3}*33722611

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simplify (2^{1/2}221)(3^{1/3}331)(4^{1/6}461)

simplify

(2^{\frac{1}{2}} 221) (3^{\frac{1}{3}} 331) (4^{\frac{1}{6}} 461)

2^{\frac{5}{6}} \cdot 3^{\frac{1}{3}} \cdot 33722611

Decimal Notation

86660250.64749 \dots

Solution steps

(2^{\frac{1}{2}} \cdot 221) (3^{\frac{1}{3}} \cdot 331) (4^{\frac{1}{6}} \cdot 461)

4^{\frac{1}{6}} = 2^{\frac{1}{3}}

= 2^{\frac{1}{2}} \cdot 221 \cdot 3^{\frac{1}{3}} \cdot 331 \cdot 2^{\frac{1}{3}} \cdot 461

Multiply the numbers:

221 \cdot 331 \cdot 461 = 33722611

= 2^{\frac{1}{2}} \cdot 33722611 \cdot 3^{\frac{1}{3}} \cdot 2^{\frac{1}{3}}

2^{\frac{1}{2}} \cdot 2^{\frac{1}{3}} = 2^{\frac{5}{6}}

= 2^{\frac{5}{6}} \cdot 33722611 \cdot 3^{\frac{1}{3}}

= 2^{\frac{5}{6}} \cdot 3^{\frac{1}{3}} \cdot 33722611

(1 + cot^{2} (x)) (1 - sin^{2} (x))

\frac{150}{360}

5.68 \cdot 1 0^{26}

3 (\frac{1}{3} x^{2} - 9)^{2} + 9

What is (2^{1/2}221)(3^{1/3}331)(4^{1/6}461) ?
The solution to (2^{1/2}221)(3^{1/3}331)(4^{1/6}461) is 2^{5/6}*3^{1/3}*33722611