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Warm Up Evaluate each expression for the given values of the variables.

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## Warm Up Evaluate each expression for the given values of the variables.

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**Warm Up**Evaluate each expression for the given values of the variables. 1.x3y2 for x = –1 and y = 10 2. for x = 4 and y = (–7) Write each number as a power of the given base. –100 3. 64; base 4 43 4. –27; base (–3) (–3)3**Learning Targets**Students will be able to: Simplify & Evaluate expressions containing zero and integer exponents.** 5** 5 5 5 You have seen positive exponents. Recall that to simplify 32, use 3 as a factor 2 times: 32 = 3 3 = 9. But what does it mean for an exponent to be negative or 0? You can use a table and look for a pattern to figure it out. 55 54 53 52 51 50 5–1 5–2 625 3125 125 25 5**Remember!**Base x Exponent 4**A sand fly may have a wingspan up to 5–3 m. Simplify this**expression.**Simplify.**A. 4–3 B. 70 Any nonzero number raised to the zero power is 1. 7º = 1 C. (–5)–4 D. –5–4**Caution**In (–3)–4, the base is negative because the negative sign is inside the parentheses. In –3–4 the base (3) is positive.**Simplify.**a. 10–4 b. (–2)–4 c. (–2)–5 d. –2–5**Use the definition**Evaluate the expression for the given value of the variables. x–2 for x = 4 Substitute 4 for x.**Evaluate the expression for the given values of the**variables. –2a0b-4 for a = 5 and b = –3 Substitute 5 for a and –3 for b. Evaluate expressions with exponents. Write the power in the denominator as a product. Evaluate the powers in the product. Simplify.**Evaluate the expression for the given value of the variable.**p–3 for p = 4 Substitute 4 for p. Evaluate exponent. Write the power in the denominator as a product. Evaluate the powers in the product.**for a = –2 and b = 6**Evaluate the expression for the given values of the variables. Substitute –2 for a and 6 for b. Evaluate expressions with exponents. Write the power in the denominator as a product. Evaluate the powers in the product. 2 Simplify.**B.**Simplify. A. 7w–4**and**Simplify. C.**Simplify.**a. 2r0m–3 b. c. HWp.449/25-77odd, Day 2 P.450/78-97