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## Algebra 1

### Course: Algebra 1>Unit 11

Lesson 3: Simplifying square roots

## What are exponent properties?

We can use these properties of exponents help us to simplify expressions involving exponents:
Product rule: x, start superscript, a, end superscript, times, x, start superscript, b, end superscript, equals, x, start superscript, a, plus, b, end superscript. For example, x, squared, times, x, cubed, equals, x, start superscript, 5, end superscript.
Power rule: left parenthesis, x, start superscript, a, end superscript, right parenthesis, start superscript, b, end superscript, equals, x, start superscript, a, b, end superscript. For example, left parenthesis, x, squared, right parenthesis, cubed, equals, x, start superscript, 6, end superscript.
Quotient rule: start fraction, x, start superscript, a, end superscript, divided by, x, start superscript, b, end superscript, end fraction, equals, x, start superscript, a, minus, b, end superscript. For example, start fraction, x, start superscript, 5, end superscript, divided by, x, squared, end fraction, equals, x, cubed.
Zero exponent rule: x, start superscript, 0, end superscript, equals, 1. For example, 7, start superscript, 0, end superscript, equals, 1.