\"\"

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First group the coefficients and variables.

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(10x)(4x7) = (10 · 4) (x · x7)

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(40) (x · x7)            (Multiply: 10 · 4 = 40) \"\"

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Since base is common, apply the product of powers property: am · an = am + n.

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(40) (x1 + 7)

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40x8                        (Add exponents: 1 + 7 = 8)\"\"

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Product of  (10x)(4x7) is 40x8.