The exponent of c after simplifying (3ab)2(−5a2bc4)2 is __

Question

The exponent of c after simplifying

(3 a b)^{2}

(- 5 a^{2} b c^{4})^{2}

is
___

Answer:
:

(3 a b)^{2}

(- 5 a^{2} b c^{4})^{2}

= (9

a^{2}

b^{2}

) × (25

a^{4}

b^{2}

c^{8}

)
= 225

a^{6}

b^{4}

c^{8}

Exponent of c = 8

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