What is (3rst^8u)(10rstu^9) ?

The solution to (3rst^8u)(10rstu^9) is 30r^2s^2t^9u^{10}

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simplify (3rst^8u)(10rstu^9)

simplify

(3 rs t^{8} u) (10 rs t u^{9})

30 r^{2} s^{2} t^{9} u^{10}

Solution steps

(3 rs t^{8} u) (10 rs t u^{9})

Apply exponent rule:

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

rr = r^{1 + 1}

= 3 s t^{8} u \cdot 10 r^{1 + 1} s t u^{9}

Add the numbers:

1 + 1 = 2

= 3 s t^{8} u \cdot 10 r^{2} s t u^{9}

Apply exponent rule:

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

ss = s^{1 + 1}

= 3 t^{8} u \cdot 10 r^{2} s^{1 + 1} t u^{9}

Add the numbers:

1 + 1 = 2

= 3 t^{8} u \cdot 10 r^{2} s^{2} t u^{9}

Apply exponent rule:

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

t^{8} t = t^{8 + 1}

= 3 u \cdot 10 r^{2} s^{2} t^{8 + 1} u^{9}

Add the numbers:

8 + 1 = 9

= 3 u \cdot 10 r^{2} s^{2} t^{9} u^{9}

Apply exponent rule:

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

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

= 3 \cdot 10 r^{2} s^{2} t^{9} u^{1 + 9}

Add the numbers:

1 + 9 = 10

= 3 \cdot 10 r^{2} s^{2} t^{9} u^{10}

Multiply the numbers:

3 \cdot 10 = 30

= 30 r^{2} s^{2} t^{9} u^{10}

\frac{e ^{- 3 t}}{e ^{- 4 t}}

8.69 \cdot 1 0^{6} \cdot 0.2 5^{1.75} \cdot 53. 4^{- 4.75}

9.44 \cdot 1 0^{- 6} \cdot \frac{159}{0.2 1 ^{2}}

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

\frac{( 1 - 2 x ) ^{2}}{( 1 - x ) ^{2}}

What is (3rst^8u)(10rstu^9) ?
The solution to (3rst^8u)(10rstu^9) is 30r^2s^2t^9u^{10}