find the value of P, if (2^2p)^4÷(2^3p)^4=2^4p^-1
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Answer:
p = 256
Step-by-step explanation:
(2^2p)^4 ÷(2^3p)^4 = 2^4p^-1
= (2^3p)^4 ×2^4p^-1 = (2^2p)^4
= 2^12×p^4×2^4×p^-1 = 2^8× p^4
= 2^16 × p^3 = 2^8 × p^4
= 2^16 = 2^8 × p^4 ÷ p^3
= 2^16 = 2^8 ×p
= 2^16 ÷ 2^8 = p
= 2^8 = p
= 2×2×2×2×2×2×2×2 = p
=256 = p
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