What is 10cmpi(1/(\sqrt[3]{2)}cm) ?

The solution to 10cmpi(1/(\sqrt[3]{2)}cm) is 5*2^{2/3}pic^2m^2

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simplify 10cmpi(1/(\sqrt[3]{2)}cm)

simplify

5 \cdot 2^{\frac{2}{3}} π c^{2} m^{2}

Solution steps

Apply exponent rule:

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

cc = c^{1 + 1}

Add the numbers:

1 + 1 = 2

Apply exponent rule:

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

mm = m^{1 + 1}

Add the numbers:

1 + 1 = 2

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

Multiply the numbers:

1 \cdot 10 = 10

Factor

10 : 2 \cdot 5

Cancel

= 5 \cdot 2^{\frac{2}{3}} π c^{2} m^{2}

- 42 y

- (4 π \cdot 1 0^{- 7}) (4)

π \cdot 1. 5^{2} \cdot 2 \cdot 2

What is 10cmpi(1/(\sqrt[3]{2)}cm) ?
The solution to 10cmpi(1/(\sqrt[3]{2)}cm) is 5*2^{2/3}pic^2m^2