What is 4.5*(\sqrt[3]{17.5})^2 ?

The solution to 4.5*(\sqrt[3]{17.5})^2 is 4.5\sqrt[3]{1225/4}

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simplify 4.5*(\sqrt[3]{17.5})^2

simplify

Decimal Notation

30.33224 \dots

Solution steps

17.5 = \frac{35}{2}

= 4.5 (\frac{35}{2})^{\frac{2}{3}}

Apply exponent rule:

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

(\frac{35}{2})^{\frac{2}{3}} = \frac{3 5 ^{\frac{2}{3}}}{2 ^{\frac{2}{3}}}

= 4.5 \cdot \frac{3 5 ^{\frac{2}{3}}}{2 ^{\frac{2}{3}}}

lo g_{5} (5) x^{- 5}

e^{- 1} \cdot 16

9.63 x 1 0^{- 3}

36 x^{3} x

What is 4.5*(\sqrt[3]{17.5})^2 ?
The solution to 4.5*(\sqrt[3]{17.5})^2 is 4.5\sqrt[3]{1225/4}