Splash Screen Unit 6 Exponents and Radicals. Splash Screen Essential Question: How do you use the properties of exponents to divide monomials?

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Presentation transcript:

Splash Screen Unit 6 Exponents and Radicals

Splash Screen Essential Question: How do you use the properties of exponents to divide monomials?

Lesson Menu 5 minute check on Unit 5. Do the first 5 problems!

Over Lesson 7–1 5-Minute Check 1 A.Yes, the expression is a product of a number and variables. B.No, it has a variable. Determine whether –5x 2 is a monomial. Explain your reasoning.

Over Lesson 7–1 5-Minute Check 2 A.Yes, the exponents are the same power. B.No, the expression is the difference between two powers of variables. Determine whether x 3 – y 3 is a monomial. Explain your reasoning.

Over Lesson 7–1 5-Minute Check 3 A.3a 5 b 6 B.–3a 5 b 6 C.3a 3 b 2 D.9a 3 b 6 Simplify (3ab 4 )(–a 4 b 2 ).

Over Lesson 7–1 5-Minute Check 4 A.2x 7 y 6 B.2x 10 y 8 C.4x 10 y 8 D.4x 7 y 6 Simplify (2x 5 y 4 ) 2.

Over Lesson 7–1 5-Minute Check 6 A.20x 5 y 3 z 6 B.20x 6 y 3 z 8 C.51x 5 y 3 z 6 D.51x 6 y 3 z 8 What is the product (–3x 2 y 3 z 2 )(–17x 3 z 4 )?

Then/Now You multiplied monomials. Find the quotient of two monomials. Simplify expressions containing negative and zero exponents. EQ: How do you use the properties of exponents to divide monomials?

Vocabulary zero exponent negative exponent

Concept

Example 1 Quotient of Powers Group powers that have the same base. = xy 9 Simplify. Quotient of Powers Answer: xy 9

Example 1 A. B. C. D.

Example 1

End of the Lesson Assignment: Do Worksheet #1 to #7 Assignment: Do Worksheet #1 to #7 EQ: How do you use the properties of exponents to divide monomials?

Concept

Example 2 Power of a Quotient Power of a Power Power of a Product Answer:

Simplify,p and q are not equal to zero. Example 2 A.AnsA B.AnsB C.AnsC D.AnsD

Example 2

End of the Lesson Assignment: Do Worksheet #8 to #12 Assignment: Do Worksheet #8 to #12 EQ: How do you use the properties of exponents to divide monomials?

Concept

Example 3 Zero Exponent Answer: 1 A.

Example 3 Zero Exponent B. a 0 = 1 = nQuotient of Powers Simplify. Answer: n

Example 3 A. B.1 C.0 D.–1 A. Simplify, z is not equal to zero.

Example 3 A. B. C. D. B. Simplify. Assume that x and k are not equal to zero.

Example 3

Concept

Example 4 Negative Exponents Negative Exponent Property A. Simplify. Assume that no denominator is equal to zero. Answer:

Example 4 Negative Exponents Group powers with the same base. B. Simplify, p, q & r are not equal to 0. Quotient of Powers & Neg. Expo. Prop. Negative Exponent Property Multiply. Simplify.

Example 4 A. Simplify. Assume that no denominator is equal to zero. A. B. C. D.

Example 4 A.AnsA B.AnsB C.AnsC D.AnsD B. Simplify. Assume that no denominator is equal to zero.

Example 4

End of the Lesson Assignment: Complete the Worksheet #13 to #24 EQ: How do you use the properties of exponents to divide monomials?