What is (3st^2u^9v^2)(2st^3uv^3) ?

The solution to (3st^2u^9v^2)(2st^3uv^3) is 6s^2t^5u^{10}v^5

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simplify (3st^2u^9v^2)(2st^3uv^3)

simplify

(3 s t^{2} u^{9} v^{2}) (2 s t^{3} u v^{3})

6 s^{2} t^{5} u^{10} v^{5}

Solution steps

(3 s t^{2} u^{9} v^{2}) (2 s t^{3} u v^{3})

Apply exponent rule:

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

ss = s^{1 + 1}

= 3 t^{2} u^{9} v^{2} \cdot 2 s^{1 + 1} t^{3} u v^{3}

Add the numbers:

1 + 1 = 2

= 3 t^{2} u^{9} v^{2} \cdot 2 s^{2} t^{3} u v^{3}

Apply exponent rule:

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

t^{2} t^{3} = t^{2 + 3}

= 3 u^{9} v^{2} \cdot 2 s^{2} t^{2 + 3} u v^{3}

Add the numbers:

2 + 3 = 5

= 3 u^{9} v^{2} \cdot 2 s^{2} t^{5} u v^{3}

Apply exponent rule:

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

u^{9} u = u^{9 + 1}

= 3 v^{2} \cdot 2 s^{2} t^{5} u^{9 + 1} v^{3}

Add the numbers:

9 + 1 = 10

= 3 v^{2} \cdot 2 s^{2} t^{5} u^{10} v^{3}

Apply exponent rule:

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

v^{2} v^{3} = v^{2 + 3}

= 3 \cdot 2 s^{2} t^{5} u^{10} v^{2 + 3}

Add the numbers:

2 + 3 = 5

= 3 \cdot 2 s^{2} t^{5} u^{10} v^{5}

Multiply the numbers:

3 \cdot 2 = 6

= 6 s^{2} t^{5} u^{10} v^{5}

2 e^{- \frac{1}{10}}

(55)^{2}

1.24 \cdot 1 0^{- 4}

2 x \cdot e^{- x}

What is (3st^2u^9v^2)(2st^3uv^3) ?
The solution to (3st^2u^9v^2)(2st^3uv^3) is 6s^2t^5u^{10}v^5