4.1 Laws of Positive Integer Indices

Law 1 of Indices : (a^m) x (aⁿ) =

• a^{(m + n)}

• a^{(m × n)}

• a^m + aⁿ

• a^{(m - n)}

• 36x³y³
• 36xy³
• 13x²y²
• 13x³y³

Law 2 of Indices : (a^m) ÷ (aⁿ) =

• a^{(m - n)}

• a^m - aⁿ
• a^{(m ÷ n)}

• a^{(m + n)}

• 6m⁶
• 6m²
• 35m⁶
• 35m²

Law 3 of Indices : (a^m)ⁿ =

• a^{(m × n)}

• a^{(m + n)}

• a^m x aⁿ

• a^men

• h⁶

• h⁵

• h⁹

• h⁸

Without using a calculator, determine which number is greater