Laws of Indices

What is the correct law for multiplication? a^m x aⁿ =

• a^m+n
• a^m + aⁿ
• a^mxn
• a^mn

What is the correct law for division? a^m ÷ aⁿ =

• a^m-n
• a^m - aⁿ
• a^m÷n
• a^m/n

What is the correct law for powers of powers? (a^m)ⁿ =

• a^mxn
• a^m+n
• a^m x aⁿ
• a^men

Simplify: 3⁵ x 3⁷

• 3¹²
• 9¹²
• 3³⁵
• 9³⁵

Simplify: 2⁸ ÷ 2²

• 2⁶
• 2⁴
• 2¹⁰
• 1

Simplify: (y⁷)²

• y¹⁴
• y⁴⁹
• y⁵
• y⁹

What is 6 x 6⁵ x 6⁴

• 6⁹

• 6¹⁰

• 6¹¹

• 6¹

Simplify your answer in index form.

• 2¹⁷

• 2^-17

• ^{none of the above}

Simplify: 3x³ × 6x⁸

• 18x¹¹
• 18x²⁴
• 9x¹¹
• 9x²⁴

Simplify: 42m¹² ÷ 7m⁶

• 6m⁶
• 6m²
• 35m⁶
• 35m²