Evaluating Rational and Negative Exponents

Identify Structure Without evaluating, explain why (−8.4)⁵ is less than 2² .

Even though the exponent is greater in (−8.4)⁵ , the base is multiplied five times. Multiplying a negative number five times results in a .......... product.

Any negative number is .......... 2² or 4.

• positive

• negative

• less than

• greater than

• equal to

x⁻⁶

• 1 ⁄ x⁶

• x⁶

• -x⁶

• -1 ⁄ x⁶

How would you change this to a positive exponent:
1/x^-3

• 1/x³

• x³

• 3x

• 1/3x

Simplify the following expression:

(xyz)⁰ =

• 0

• 1

• xyz

• -1

• m⁴
• m⁶
• m¹⁰
• 1/m⁶

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

• Add

• Subract

• Multiply

• Divide

Write the expression in radical form.
x^3/4

• ∜x³

• ∛x⁴

• x^.75

• √x²