What is (6stu)(3st^6u) ?

The solution to (6stu)(3st^6u) is 18s^2t^7u^2

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simplify (6stu)(3st^6u)

simplify

(6 s t u) (3 s t^{6} u)

18 s^{2} t^{7} u^{2}

Solution steps

(6 s t u) (3 s t^{6} u)

Apply exponent rule:

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

ss = s^{1 + 1}

= 6 t u \cdot 3 s^{1 + 1} t^{6} u

Add the numbers:

1 + 1 = 2

= 6 t u \cdot 3 s^{2} t^{6} u

Apply exponent rule:

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

t t^{6} = t^{1 + 6}

= 6 u \cdot 3 s^{2} t^{1 + 6} u

Add the numbers:

1 + 6 = 7

= 6 u \cdot 3 s^{2} t^{7} u

Apply exponent rule:

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

uu = u^{1 + 1}

= 6 \cdot 3 s^{2} t^{7} u^{1 + 1}

Add the numbers:

1 + 1 = 2

= 6 \cdot 3 s^{2} t^{7} u^{2}

Multiply the numbers:

6 \cdot 3 = 18

= 18 s^{2} t^{7} u^{2}

- 0.3 e^{- 0.1}

(p q^{2}) (p^{7} q^{5})

3.44 \cdot 1 0^{- 3}

6.67 \cdot 1 0^{- 11} \cdot 50

50 e^{- 0.34657 \cdot 9}