Respuesta :
The simplified form of the expression is (12u⁵)/x³
Simplifying an expression
From the question, we are to simplify the given expression
The given expression is
6x⁻⁴v⁻⁸v⁸ × 2xu⁵
Simplifying
6x⁻⁴v⁻⁸v⁸ × 2xu⁵
From one of the laws of indices, we have that
x⁻ⁿ = 1/xⁿ
∴ v⁻⁸ = 1/v⁸
Thus,
6x⁻⁴v⁻⁸v⁸ = (6x⁻⁴v⁸) / v⁸
Then,
6x⁻⁴v⁻⁸v⁸ × 2xu⁵ = (6x⁻⁴v⁸) / v⁸ × 2xu⁵
= 6x⁻⁴ × v⁸/ v⁸ × 2xu⁵
= 6x⁻⁴ × 1 × 2xu⁵
= 6x⁻⁴ × 2xu⁵
= 6 × x⁻⁴ × 2 × x × u⁵
= 6 × 2 × x⁻⁴ × x × u⁵
= 12 × x⁻⁴ × x × u⁵
Also, from one of the laws of indices, we have that
∴ x⁻⁴ × x = x⁻⁴⁺¹
Thus,
12 × x⁻⁴ × x × u⁵ =
= 12 × x⁻⁴⁺¹ × u⁵
= 12 × x⁻³ × u⁵
= (12 × u⁵) / x³
= (12u⁵)/x³
Hence, the simplified form of the expression is (12u⁵)/x³
Learn more on Simplifying an expression here: https://brainly.com/question/4198742
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