What is t^{2/3}x^{2/3}(5t^2-8x) ?

The solution to t^{2/3}x^{2/3}(5t^2-8x) is (5t^2-8x)(tx)^{2/3}

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simplify t^{2/3}x^{2/3}(5t^2-8x)

simplify

t^{\frac{2}{3}} x^{\frac{2}{3}} (5 t^{2} - 8 x)

(5 t^{2} - 8 x) (t x)^{\frac{2}{3}}

Solution steps

t^{\frac{2}{3}} x^{\frac{2}{3}} (5 t^{2} - 8 x)

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

t^{\frac{2}{3}} x^{\frac{2}{3}} = (t x)^{\frac{2}{3}}

= (5 t^{2} - 8 x) (t x)^{\frac{2}{3}}

1 0^{- 16}

(8^{l o g_{8} (π)})^{5.6}

(2 c^{4}) (8 c^{5})

What is t^{2/3}x^{2/3}(5t^2-8x) ?
The solution to t^{2/3}x^{2/3}(5t^2-8x) is (5t^2-8x)(tx)^{2/3}