What is 2tssqrt(t)\sqrt[3]{t^2} ?

The solution to 2tssqrt(t)\sqrt[3]{t^2} is 2ssqrt(t)t^{5/3}

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simplify 2tssqrt(t)\sqrt[3]{t^2}

simplify

2 s t t^{\frac{5}{3}}

Solution steps

= 2 t s t t^{\frac{2}{3}}

Apply exponent rule:

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

t t^{\frac{2}{3}} = t^{1 + \frac{2}{3}}

= 2 s t t^{1 + \frac{2}{3}}

t^{1 + \frac{2}{3}} = t^{\frac{5}{3}}

= 2 s t t^{\frac{5}{3}}

\frac{r ^{2}}{p ^{2}}

(1.5 x 1 0^{- 2} c m) (870 x 1 0^{2} c m)

4.986 \cdot (1 0^{1})^{5}

1.12 \cdot 1.6 \cdot 1 0^{- 19}

- 5.45 \cdot 1 0^{- 7}

What is 2tssqrt(t)\sqrt[3]{t^2} ?
The solution to 2tssqrt(t)\sqrt[3]{t^2} is 2ssqrt(t)t^{5/3}