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= (4x⁻² y² z³); (8x⁻³ y³ z⁶)
= (4/8)(x⁻²/x⁻³) (y²/y³) (z³/z⁶)
= 1/2 (1/x⁵)(1/y)(1/z³)
= 1/(2x⁵yz³)
10.
9 ³ˣ⁺² = 81²ˣ⁻⁵
9 ³ˣ⁺² = (9²)²ˣ⁻⁵
3x + 2 = 2(2x -5)
3x +2 = 4x - 10
(3-4)x = -10 - 2
-x = - 12
x = 12
11.
2√75 (3√32) : (√54) =
= (2)(5)√3 .(3)(4)√2 : 3√6
= 10√3 . 12√2 : 3√6
= (120 √6); (3√6)
= 120/3
= 40
12.
3√128 - 3√75 - √72 + √147 =
= 3(8√2) - 3(5√3) - (6√2) + (7√3)
= (24 √2 - 6√2 - 15√3 + 7√3)
= (24-6)√ 2+ (-15+7)√3
= 18√2 - 8√3