What is (3s^2t^2)(-9s^6t^2+5s^7t^4+8st^2) ?

The solution to (3s^2t^2)(-9s^6t^2+5s^7t^4+8st^2) is 3s^2t^2(5s^7t^4-9s^6t^2+8st^2)

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simplify (3s^2t^2)(-9s^6t^2+5s^7t^4+8st^2)

simplify

(3 s^{2} t^{2}) (- 9 s^{6} t^{2} + 5 s^{7} t^{4} + 8 s t^{2})

3 s^{2} t^{2} (5 s^{7} t^{4} - 9 s^{6} t^{2} + 8 s t^{2})

Solution steps

(3 s^{2} t^{2}) (- 9 s^{6} t^{2} + 5 s^{7} t^{4} + 8 s t^{2})

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

s^{2} t^{2} = (s t)^{2}

= 3 (s t)^{2} (5 s^{7} t^{4} - 9 s^{6} t^{2} + 8 s t^{2})

(s t)^{2} = s^{2} t^{2}

= 3 s^{2} t^{2} (5 s^{7} t^{4} - 9 s^{6} t^{2} + 8 s t^{2})

(5 x^{2}) (2 x^{3})

(6.67 \cdot 1 0^{- 11}) (6 \cdot 1 0^{24})

\frac{- 60}{10}

2 (280)

What is (3s^2t^2)(-9s^6t^2+5s^7t^4+8st^2) ?
The solution to (3s^2t^2)(-9s^6t^2+5s^7t^4+8st^2) is 3s^2t^2(5s^7t^4-9s^6t^2+8st^2)