How would I solve this problem?

asked Jul 3, 2022 213k views

15 votes

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6 votes

Answer:

n = 6

Explanation:

$(a^(m))/(a^(n))=a^(m-n)\\\\a^(m)*a^(n)=a^(m+n)\\\\$

$((-4)^(10))/((-4)^(n))=(-4)^(2)*(-4)^(2) \\\\(-4)^(10-n)=(-4)^(2+2)\\\\(-4)^(10-n)=(-4)^(4)$

Compare the exponents,

10 - n = 4

10 = 4 +n

10 - 4 = n

6 = n

Gkrogers answered Jul 9, 2022

7.9k points

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