Simplifying Expressions with Exponents - Concept

Concept Concept (1)

We can use what we know about exponents rules in order to simplify expressions with exponents. When simplifying expressions with exponents we use the rules for multiplying and dividing exponents, and negative and zero exponents. In Algebra and higher math courses such as Calculus, we will often encounter simplifying expressions with exponents.

Sample Sample Problems (5)

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Simplifying Expressions with Exponents - Problem 1

Simplify:

(2x⁴xyz²
Problem 1
How to simplify fractions with numbers and variables that are raised to an exponent.
Simplifying Expressions with Exponents - Problem 2

Simplify:

(3x)⁻¹(2x²)⁻²
Problem 2
How to multiply fractions with numbers and letters with positive and negative exponents.
Simplifying Expressions with Exponents - Problem 3

Simplify:

(3a⁰b)²b⁴c
3³(ab²)⁻¹c³
Problem 3
How to simplify fractions with multiple integers, variables, and positive and negative exponents.
Simplifying Expressions with Exponents - Problem 4
Problem 4
Overview of when exponents can be "distributed," or applied to products or quotients, and how exponents can not be applied to sums or differences.
Simplifying Expressions with Exponents - Problem 5
Problem 5
Simplifying products of exponential expressions where one fraction has a power to a power.