How do you simplify ${(\frac{100}{9})}^{\frac{3}{2}}$ $(100/9)^(3/2)$ ?

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How do you simplify ${(\frac{100}{9})}^{\frac{3}{2}}$ $(100/9)^(3/2)$ ?

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Answer 1 · 2016-04-29T09:59:16

$\frac{1000}{27}$ $1000/27$

Explanation:

Power of $\frac{2}{3}$ $2/3$ is first to take the square root of $\frac{100}{9}$ $100/9$ which is $\frac{10}{3}$ $10/3$ , then cube that answer, which is $\frac{1000}{27}$ $1000/27$ .

Answer 2 · 2016-04-29T10:06:54

$\frac{1000}{27}$ $1000/27$

Explanation:

${(\frac{100}{9})}^{\frac{3}{2}} = {({(\frac{10}{3})}^{2})}^{\frac{3}{2}} = {(\frac{10}{3})}^{2 \times (\frac{3}{2})} = {(\frac{10}{3})}^{3} = \frac{1000}{27}$ $(100/9)^(3/2)=((10/3)^2)^(3/2)=(10/3)^(2xx(3/2))=(10/3)^3=1000/27$

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How do you simplify ${(\frac{100}{9})}^{\frac{3}{2}}$ $(100/9)^(3/2)$ ?

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