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First group the coefficients and variables.
\(10x)(4x7) = ( 10 · 4) (x · x7)
\= (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.
\= (40) (x1 + 7)
\= 40x8 (Add exponents: 1 + 7 = 8)
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Product of (10x)(4x7) is 40x8.