Question

Identify the simplified form of the expression (m 5/2 n 7/2)2 A) m n2 B) m5 n C) m2 n5 D) m5 n7

Answer 1

D) m^5·n^7

Explanation:

The applicable rule for exponents is ...

(a^b)^c = a^(b·c)

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`(m^{(5)/(2)}n^{(7)/(2)})^2=m^{(5)/(2)\cdot2}n^{(7)/(2)\cdot2}=\boxed{m^5n^7}`