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Notes for Graphing Quadratic Equations for Real-World Applications - NYS Regents | RevisionDojo

An exponential expression is a mathematical expression of the form \$a^n\$, where:

\$a\$ is the base.
\$n\$ is the exponent.

Note

The exponentindicates how many times the baseis multiplied by itself.

Multiplying Exponential Expressions

When multiplying exponential expressions with the same base, add the exponents:

$$\$a^m \cdot a^n = a^{m+n}\$$

Note

If the basesare different, there is no simple way to multiply the expressions.

Dividing Exponential Expressions

When dividing exponential expressions with the same base, subtract the exponents:

$$\$a^m \div a^n = a^{m-n}\$$

Note

If the basesare different, there is no simple way to divide the expressions.

Raising a Power to a Power

To raise an exponential expression to a power, multiply the exponents:

$$\$(a^m)^n = a^{m \cdot n}\$$

Self review

1. Simplify \$3^2 \cdot 3^4\$. 2. Simplify \$5^7 \div 5^3\$. 3. Simplify \$(4^2)^3\$.

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Solving Linear Equations with Algebra4 subtopics

Polynomial Arithmetic9 subtopics

Quadratic Equations7 subtopics

Systems of Linear Equations4 subtopics

Graphs of Solution Sets of Linear Equations6 subtopics

Graphing Solution Sets for Quadratic Equations4 subtopics

Linear Inequalities3 subtopics

Exponential Equations4 subtopics

Creating and Interpreting Equations from Real-World Scenarios2 subtopics

Functions4 subtopics

Sequences3 subtopics

Regression Curves3 subtopics

Statistics2 subtopics

Graphing Quadratic Equations for Real-World Applications Notes

Solving Linear Equations with Algebra4 subtopics

Polynomial Arithmetic9 subtopics

Quadratic Equations7 subtopics

Systems of Linear Equations4 subtopics

Graphs of Solution Sets of Linear Equations6 subtopics

Graphing Solution Sets for Quadratic Equations4 subtopics

Linear Inequalities3 subtopics

Exponential Equations4 subtopics

Creating and Interpreting Equations from Real-World Scenarios2 subtopics

Functions4 subtopics

Sequences3 subtopics

Regression Curves3 subtopics

Statistics2 subtopics

Multiplying Exponential Expressions

Dividing Exponential Expressions

Raising a Power to a Power

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