Practice IB Mathematics Applications & Interpretation (AI) Topic AHL 1.10—expressions with Non-integer Exponents with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for AHL 1.10—expressions with Non-integer Exponents and mirrors Paper 1, 2, 3 style where relevant.
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Simplify the following expressions, giving your answers in the form where and are rational numbers and any fractions are in lowest terms.
Solve each of the following equations, giving each answer in exact form.
, where .
, where .
, where .
Express in the form , where is a positive integer and is a rational number.
The expression is defined by , where .
Express in its simplest form as a single power of .
The expression is defined by , where .
Given that , find the exact value of .
Simplify the following expressions. Write your final answer with a single numerator (use negative exponents; no fractions).
Simplify the following expressions.