What is the product? (4x) (-3x^8) (-7x^3)

The correct answer is:

84x¹²

Explanation:

To simplify this expression, we work from left to right:

4x(-3x⁸)(-7x³)

Multiplying the coefficients of the first two, we have 4(-3) = -12.  Using the laws of exponents, multiplying powers with the same base means we add the exponents; this gives us x(x⁸) = x¹⁺⁸ = x⁹.  This gives us

-12x⁹(-7x³)

Multiplying the coefficients, we have -12(-7) = 84.  Using the laws of exponents, for the variable we have x⁹(x³) = x⁹⁺³ = x¹²

This gives us

84x¹²

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.

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