Unit 1 · Class 8 IB MYP · Formula Sheet
Powers & Roots Formulas — Class 8 IB MYP
Work with integer exponents, square roots, cube roots, and laws of indices.
Key Formulas
Square Root
\sqrt{a^2} = |a|
Cube Root
\sqrt[3]{a^3} = a
Index Laws
a^m \times a^n = a^{m+n}, \quad (a^m)^n = a^{mn}
Fractional Exponent
a^{1/n} = \sqrt[n]{a}
Negative Exponent
a^{-n} = \dfrac{1}{a^n}
Worked Examples
1Using: Application
Apply the key formula from this topic to a sample problem.
Step 1: Identify the formula.
Step 2: Substitute the values.
Step 3: Simplify to get the answer.
Answer: See solution above
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