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How would I solve this problem?

How Would I Solve This Problem class=

Sagot :

Answer:

n = 6

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{m}*a^{n}=a^{m+n}\\\\[/tex]

[tex]\frac{(-4)^{10}}{(-4)^{n}}=(-4)^{2}*(-4)^{2} \\\\(-4)^{10-n}=(-4)^{2+2}\\\\(-4)^{10-n}=(-4)^{4}[/tex]

Compare the exponents,

10 - n = 4

10 = 4 +n

10 - 4 = n

6 = n