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Vika [28.1K]
3 years ago
8

Find the missing term (x^12)^5*(x^-2)^9___=(x^40)^5

Mathematics
1 answer:
ratelena [41]3 years ago
6 0
(x^12)^5=x^(12*5)=x^60
(x^(-2))^9=x^(-18)
x^60*x^(-18)=x^(40) and we need to find x^a such that
x^(42)*x^a=x^(40)^5
x^a=x^(40)^5*x^(-42)
x^a=x^(200)x^(-42)
x^a=x^(200-42)
x^a=x^158
so the missing term is x^158
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