Simplifying Expressions with Properties of Exponents

Simplify the following using the properties of exponents.

• 0

• 1

• z

Simplify the following using the properties of exponents.

• 1/a⁸

• -8

• a⁸

Simplify the following using the properties of exponents.

• 60ab²

• a⁰

• 6/b2

Simplify the following using the properties of exponents.

• 14/m⁴

• 14mn⁴

• 14n⁰

Write a simplified expression for \left(\frac{2x^2}{3y^3}\right)^3 for all values of x and y where the expression is defined? Make sure all the exponents are positive.

Mathematical Equivalence

ON

Simplify the following using the properties of exponents.

• 8a³/8b⁵c⁰

• 16a³/b⁵

• 64b⁵/a³

Simplify the following using the properties of exponents.

• c¹²/c⁶

• c¹

• c⁷/c⁶

Simplify the following using the properties of exponents.

• 64/x³

• x³/64

• x³/4^-3

Simplify the following using the properties of exponents.

• t/32u⁵

• 6t/32u⁵

• 32u⁵/6t

Simplify the following using the properties of exponents.

• 9b²/9a

• 9a/9b²

• 9b²/c