laws on exponent laws on exponent grade 7.pptx

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1. Laws
of
Exponents

2. Lesson 1: Laws of Exponents

Vocabulary

exponent

3. Lesson 1: Laws of Exponents

Power Exponent Base

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NJ
SS UI WR
Ss (E 5/00 Un

4. Lesson 1: Laws of Exponents

Law 1: Product Law

When multiplying two powers with the
same base, just add the exponents.

5. Lesson 1: Laws of Exponents

Law 2: Quotient Law

When dividing two powers with the
same base, just subtract the exponents.

6. Lesson 1: Laws of Exponents

Law 2: Power Law

To simplify any power of power,
simply multiply the exponents.

7. Lesson 1: Laws of Exponents

Powers with different bases

8. Lesson 1: Laws of Exponents

Powers with different bases

Dividing different bases can’t be simplified

unless the exponents are equal.

9. Lesson 1: Laws of Exponents

Zero exponents

A nonzero base raised to a zero exponent
Is equal to one.

10. Lesson 1: Laws of Exponents

Negative exponents

A nonzero base raised to a negative exponent
is equal to the reciprocal of the base raised
to the positive exponent.

11. Lesson 1: Laws of Exponents

Simplifying Powers

A power is in its simplest form when the laws and
definitions of exponents cannot be applied
further to simplify it.

Example: 4° notin simplest form

a simplest form
4