Exponents, Surds & Nature of Roots is one of 9 topics in the Grade 11 Technical Mathematics CAPS syllabus, covered across 3 lessons on Study Vault. Below are real practice questions from this topic with full worked answers.
Sample practice questions
Easy
1. Simplify x^3 . x^5.
x^8
x^15
x^2
x^{-2}
Answer: x^8 — When multiplying like bases, add the exponents: x^3 . x^5 = x^(3+5) = x^8.
Easy
2. What is the value of a^0 for any a not equal to 0?
1
0
a
-1
Answer: 1 — Any non-zero base raised to the power 0 equals 1.
