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Answers
Question 1
| (a) | \( x^8 \) | (b) | \( y^9 \) | (c) | \( 6a^8 \) |
| (d) | \( 6x^4y^5 \) | (e) | \( 8a^4 \) | (f) | \( 36x^{10} \) |
| (g) | \( 7y^2 + 2y^5 \) | (h) | \( 20b^7c^3 \) | (i) | \( 60x^6y^6 \) |
| (j) | \( a^4b^2x^5 \) | (k) | \( 24a^7b^7c^6 \) | (l) | \( 22x^5y^4 \) |
Question 2
| (a) | \( x^4 \) | (b) | \( y^2 \) | (c) | \( x^4 \) |
| (d) | \( 2a^2 \) | (e) | \( 3x^5 \) | (f) | \( 3x^4 \) |
| (g) | \( 2b^4 \) | (h) | \( 5a^3b \) | (i) | \( 4y^3 \) |
| (j) | \( 4x^2y^2 \) | (k) | \( 6a^2b^2 \) | (l) | \( 2x^3y^3z^3 \) |
Question 3
| (a) | \( x^6 \) | (b) | \( y^{20} \) | (c) | \( 2a^{15} \) |
| (d) | \( 9a^6 \) | (e) | \( 8x^3 \) | (f) | \( 32y^6 \) |
| (g) | \( x^3y^3 \) | (h) | \( 4a^4b^6 \) | (i) | \( 81x^4y^8 \) |
| (j) | \( 5a^6b^12c^3 \) | (k) | \( 24x^9y^6 \) | (l) | \( 512a^16b^4c^8 \) |
Question 4
| (a) | \( x^{-2} \) | (b) | \( 10y^{-8} \) | (c) | \( 2x^{-7} \) |
| (d) | \( 3a^2 \) | (e) | \( 4x^{-3} \) | (f) | \( 2x^8 \) |
| (g) | \( a^{-12} \) | (h) | \( x^9 \) | (i) | \( 5x^{-2} \) |
| (j) | \( 0.125a^6 \) | (k) | \( 20x^{-6} \) | (l) | \( 12xy^{-5} \) |
Question 5
| (a) | \( x^2 \) | (b) | \( y^ \frac {4}{3} \) | (c) | \( y^ \frac {1}{3} \) |
| (d) | \( a^ \frac {5}{6} \) | (e) | \( x^2 \) | (f) | \( 10x^ \frac {7}{6} \) |
| (g) | \( 4a^ \frac {1}{4} \) | (h) | \( x^ \frac {1}{3} \) | (i) | \( 27x \) |
| (j) | \( 2x^ \frac {1}{6} \) | (k) | \( 12y^ \frac {1}{4} \) | (l) | \( 2x^ \frac {4}{3} \) |
Question 6
| (a) | \( x^{10} \) | (b) | \( x^3 \) | (c) | \( 12a^5 \) |
| (d) | \( x^6 \) | (e) | \( 12y^8 \) | (f) | \( 3y^6 \) |
| (g) | \( 3a^6 \) | (h) | \( 64x^9y^6 \) | (i) | \( 5x^3y^2 \) |
| (j) | \( 6a^5b^5 \) | (k) | \( 2a^4 \) | (l) | \( 9y^4 \) |
| (m) | \( 12x^4y^2 \) | (n) | \( 0.25d^6 \) | (o) | \( x^3 \) |
| (p) | \( 18x^2 \) | (q) | \( 12a^\frac{5}{2}b^\frac{4}{3} \) | (r) | \( 2y^2 \) |
| (s) | \( a^2 \) | (t) | \( 2x^{-4} \) | (u) | \( 2a^{-\frac{1}{6}} \) |