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Polynomials

Question

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Find the value of ‘p’ if 5^p-3 × 3^{2p - 8} = 225.

Solution

5^{p - 3}× 3^{2p - 8} = 225
⇒ 5^{p - 3}× 3^{2p - 8} = 5² × 3²⇒ p – 3 = 2
2p - 8 = 2
⇒ p = 5

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