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

Mathematics

1 answer:

SashulF [63]3 years ago

5 0

Answer:

84x¹²

Step-by-step 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

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