What is (9rst^6u^6)(5rst^6u^7) ?

The solution to (9rst^6u^6)(5rst^6u^7) is 45r^2s^2t^{12}u^{13}

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simplify (9rst^6u^6)(5rst^6u^7)

simplify

(9 rs t^{6} u^{6}) (5 rs t^{6} u^{7})

45 r^{2} s^{2} t^{12} u^{13}

Solution steps

(9 rs t^{6} u^{6}) (5 rs t^{6} u^{7})

Apply exponent rule:

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

rr = r^{1 + 1}

= 9 s t^{6} u^{6} \cdot 5 r^{1 + 1} s t^{6} u^{7}

Add the numbers:

1 + 1 = 2

= 9 s t^{6} u^{6} \cdot 5 r^{2} s t^{6} u^{7}

Apply exponent rule:

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

ss = s^{1 + 1}

= 9 t^{6} u^{6} \cdot 5 r^{2} s^{1 + 1} t^{6} u^{7}

Add the numbers:

1 + 1 = 2

= 9 t^{6} u^{6} \cdot 5 r^{2} s^{2} t^{6} u^{7}

Apply exponent rule:

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

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

= 9 u^{6} \cdot 5 r^{2} s^{2} t^{6 + 6} u^{7}

Add the numbers:

6 + 6 = 12

= 9 u^{6} \cdot 5 r^{2} s^{2} t^{12} u^{7}

Apply exponent rule:

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

u^{6} u^{7} = u^{6 + 7}

= 9 \cdot 5 r^{2} s^{2} t^{12} u^{6 + 7}

Add the numbers:

6 + 7 = 13

= 9 \cdot 5 r^{2} s^{2} t^{12} u^{13}

Multiply the numbers:

9 \cdot 5 = 45

= 45 r^{2} s^{2} t^{12} u^{13}

3.43 \cdot 1 0^{- 8}

5 e^{- \frac{6 ^{2}}{2}}

(e^{x} - e^{- x})^{- 1}

1 0^{- 7} \cdot 1 e^{9}

3.43 \cdot 1 0^{- 5}

What is (9rst^6u^6)(5rst^6u^7) ?
The solution to (9rst^6u^6)(5rst^6u^7) is 45r^2s^2t^{12}u^{13}