What is \sqrt[3]{2^5}*\sqrt[4]{8^2}*sqrt(32) ?

The solution to \sqrt[3]{2^5}*\sqrt[4]{8^2}*sqrt(32) is 32\sqrt[3]{4}

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simplify \sqrt[3]{2^5}\sqrt[4]{8^2}sqrt(32)

simplify

3 2^{5} \cdot 4 8^{2} \cdot 32

3234

Decimal

50.79683 \dots

Solution steps

3 2^{5} 4 8^{2} 32

32 = 42

= 3 2^{5} 4 8^{2} \cdot 42

3 2^{5} = 234

= 234 4 8^{2} \cdot 42

4 8^{2} = 22

= 234 \cdot 22 \cdot 42

Multiply the numbers:

2 \cdot 2 \cdot 4 = 16

= 163422

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 1634 \cdot 2

= 16 \cdot 234

Multiply the numbers:

16 \cdot 2 = 32

= 3234

(1 + 2 x)^{- 3}

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

50^{2}

e^{t} \times e^{t}

(- 3) (- 3)

What is \sqrt[3]{2^5}*\sqrt[4]{8^2}*sqrt(32) ?
The solution to \sqrt[3]{2^5}*\sqrt[4]{8^2}*sqrt(32) is 32\sqrt[3]{4}