Exponent Rules

Simplify the expression.
x⁴ ⋅ x¹²

• x³
• x⁴⁸
• x¹⁶
• x⁸

Simplify the exponential expression:

• 10x^-2
• 2x²
• 2x¹²
• 10x¹²

(-5d⁴g⁵)(2dg)

• -10dogs
• 10d³g⁴
• -10d⁴g⁵
• -10d⁵g⁶

7v⁴ · 3v⁷ · 9v⁵

• 189v¹⁶
• 189v¹⁴⁰
• 1/189v¹⁶
• 7v⁴ · 3v⁷ · 9v⁵

3⁵ x 3⁷

• 9³⁵

• 3¹²

• 9¹²

• 3³⁵

Answer explanation

Remember to keep the bases the same and add the exponents!

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 
?

• 7⁵
• 7⁶
• 6⁷
• 7⁷

Which is equivalent to 2⁴?

• 8
• 20
• 16
• 12

How would you represent 8⁶ ?

• 8 x 6
• 8 x 8 x 6
• 8 x 8 x 8 x 8 x 8 x 8
• 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

1.)  Simplify
 (2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶
• 12a⁶b⁸z⁵
• 12a⁵b⁶z⁶
• 8a⁶b⁸z⁵

Evaluate this expression using the quotient rule.

• 9⁵
• 9⁹
• 1⁵
• 9^-5