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Question 4
Simplify the following expressions.
| (a) | \( x^{-5} \times x^3 \) | (b) | \( 5y^{-3} \times 2y^{-5} \) | (c) | \( 8x^{-4} \div 4x^3 \) |
| (d) | \( 12a^{-3} \div 4a^{-5} \) | (e) | \( 32x^3 \div 8x^6 \) | (f) | \( 10x^6 \div 5x^{-2} \) |
| (g) | \( (a^4)^{-3} \) | (h) | \( (x^{-3})^{-3} \) | (i) | \( 3x^{-2} + 2x^{-2} \) |
| (j) | \( (2a^{-2})^{-3} \) | (k) | \( 5(2x^{-3})^2 \) | (l) | \( 4x^3y^{-2} \times 3x^{-2}y^{-3} \) |