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Value of p is 2

Step-by-step explanation:

  • Step 1: Use the law of exponents to find p.

According to the law of exponents, (a^m)^n = a^m×n

Given, (8²)^p = 8^4

⇒ 8^2p = 8^4

Since the base is 8, the exponents can be equated.

⇒ 2p = 4

∴ p = 4/2 = 2

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