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Answer :
To simplify the expression 3 * 243 * x^7 * 3 * 9 * x, we calculate that 243 is 3^5, and 9 is 3^2, so when multiplied together with the other 3's, the base of 3 is raised to the 9th power. The x terms have a combined exponent of 8, so the simplified expression is 3^9x^8.
The goal is to simplify the algebraic expression by combining like terms and applying the rules of exponents. The expression given is 3 * 243 * x7 * 3 * 9 * x. First, we combine the numerical constants: 3, 243, and 9 are all powers of 3. The number 243 is 35 and 9 is 32. Multiplying these together we get 31 * 35 * 31 * 32 which simplifies to 39. Now, we will combine the x terms by adding the exponents, x7*x1 = x7+1 = x8.
So the simplified expression is 39x8.
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