What is 7r^8e^8r^7w^8er^9ew ?

The solution to 7r^8e^8r^7w^8er^9ew is 7e^{10}r^{24}w^9

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simplify 7r^8e^8r^7w^8er^9ew

simplify

7 r^{8} e^{8} r^{7} w^{8} e r^{9} e w

7 e^{10} r^{24} w^{9}

Solution steps

7 r^{8} e^{8} r^{7} w^{8} e r^{9} e w

Apply exponent rule:

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

e^{8} ee = e^{8 + 1 + 1}

= 7 r^{8} r^{7} w^{8} r^{9} e^{8 + 1 + 1} w

Add the numbers:

8 + 1 + 1 = 10

= 7 r^{8} r^{7} w^{8} r^{9} e^{10} w

Apply exponent rule:

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

r^{8} r^{7} r^{9} = r^{8 + 7 + 9}

= 7 w^{8} r^{8 + 7 + 9} e^{10} w

Add the numbers:

8 + 7 + 9 = 24

= 7 w^{8} r^{24} e^{10} w

Apply exponent rule:

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

w^{8} w = w^{8 + 1}

= 7 r^{24} e^{10} w^{8 + 1}

Add the numbers:

8 + 1 = 9

= 7 r^{24} e^{10} w^{9}

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\frac{21}{67}

What is 7r^8e^8r^7w^8er^9ew ?
The solution to 7r^8e^8r^7w^8er^9ew is 7e^{10}r^{24}w^9