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Answer :
The simplified form of the expression 3w × 3x⁹ × 5w⁷ × x⁹ is 45w⁸x¹⁸.
What is the simplified form of the expression?
Given the expression in the question:
3w × 3x⁹ × 5w⁷ × x⁹
To simplify the expression 3w × 3x⁹ × 5w⁷ × x⁹, we use the rules of exponentiation and multiplication.
3w × 3x⁹ × 5w⁷ × x⁹
Simplify the coefficients of the variable 'w' together.
3w × 5w⁷ × 3x⁹ × x⁹
Multiply 3 and 5 to get 15:
15w × w⁷ × 3x⁹ × x⁹
Simplify the 'w' terms by adding their exponents:
15w¹⁺⁷ × 3x⁹ × x⁹
Simplify the 'x' terms by adding their exponents:
15w¹⁺⁷ × 3x⁹⁺⁹
15w⁸ × 3x¹⁸
Furthermore, simplify it by multiplying 15 and 3:
45w⁸x¹⁸
Therefore, the simplified form is 45w⁸x¹⁸.
Learn more about exponent rules here: https://brainly.com/question/32919146
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