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Answer :
To simplify the given mathematical expression, 3w*3x⁹*5w⁷x⁹, we can apply the properties of exponents and multiplication. So, the simplified form of the given expression is 45w⁸ x¹⁸.
To simplify the given mathematical expression, 3w*3x⁹*5w⁷x⁹, we can apply the properties of exponents and multiplication.
First, let's combine the coefficients:
3 x 3 x 5 = 9 x 5 = 45
Next, we'll combine like terms, which in this case are the variables w and x, using the property of exponents that states:
[tex]a^m[/tex] . [tex]a^n[/tex] = [tex]a^{m+n[/tex]
For the w-terms:
w . w⁷ = w ⁽¹⁺⁷⁾ = w⁸
For the x-terms:
x⁹ . x⁹ = x⁹⁺⁹ = x¹⁸
Combining the coefficient with the simplified variables gives us the final simplified expression:
45w⁸ x¹⁸
So, the simplified form of the given expression is 45w⁸ x¹⁸.
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