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EleoNora [17]
3 years ago
7

What value of n makes the equation true ? Show your work.

Mathematics
1 answer:
ahrayia [7]3 years ago
8 0

Answer:

n = 6

Step-by-step explanation:

Given the expression

(\frac{19^8}{7^n})^4 = (\frac{19^4}{7^3})^8 \\\frac{19^{32}}{7^{4n}} = \frac{19^{32}}{7^{24}}\\\frac{1}{7^{4n}} = \frac{1}{7^{24}} \\Reciprocate \ both \ sides\\7^{4n} = 7^{24}\\4n = 24\\n = \frac{24}{4}\\n = 6

Hence the value of n is 6

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