Question 6

Simplify the following expressions.

(a) \( x^4 \times x^6 \) (b) \( x^8 \div x^5 \) (c) \( 6a^4 \times 2a \)
(d) \( (x^3)^2 \) (e) \( 3y^5 \times 4y^3 \) (f) \( 9y^8 \div 3y^2 \)
(g) \( 24a^6 \div 8a \) (h) \( (4x^3y^2)^3 \) (i) \( 15x^4y^5 \div 3xy^3 \)
(j) \( a^4b^2 \times 6ab^3 \) (k) \( 18a^7 \div 9a^3 \) (l) \( (3y^2)^2 \)
(m) \( 4x^3 \times 3xy^2 \) (n) \( (2d^{-3})^{-2} \) (o) \( x^\frac{1}{2} \times x^6 \)
(p) \( 6x^{-3} \times 3x^5 \) (q) \( 3ab^\frac {1}{3} \times 4a^ \frac{3}{2}b \) (r) \( 8y^{-3} \div 4y^{-5} \)
(s) \(  (a^ {-\frac {1}{2}})^{-4} \) (t) \(  (4x^{-3})^2 \div 8x^{-2} \) (u) \( (8a^{-\frac{1}{2}})^\frac{1}{3}\)