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Find the missing factor B that makes the equality true. {:[-35x^(6)=(-5x^(2))(B)],[B=◻]:}

Find the missing factor B B that makes the equality true.\newline−35x6=(−5x2)(B)B=□ \begin{array}{l} -35 x^{6}=\left(-5 x^{2}\right)(B) \\ B=\square \end{array}

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Integer inequalities with absolute valuesright chevron icon

Full solution

Q. Find the missing factor B B that makes the equality true.\newline−35x6=(−5x2)(B)B=□ \begin{array}{l} -35 x^{6}=\left(-5 x^{2}\right)(B) \\ B=\square \end{array}
  1. Identify equation and goal: Identify the given equation and the goal. We are given the equation −35x6=(−5x2)B-35x^6 = (-5x^2)B and we need to find the value of BB.
  2. Isolate B: Divide both sides of the equation by −5x2-5x^2 to isolate B. This gives us B=−35x6−5x2B = \frac{-35x^6}{-5x^2}.
  3. Simplify equation: Simplify the right side of the equation. The −35-35 divided by −5-5 gives us 77, and x6x^6 divided by x2x^2 gives us x(6−2)x^{(6-2)} or x4x^4. So, B=7x4B = 7x^4.

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