#### Domain of The Expressions and Using the Laws of Exponents Question

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Assignment 1 Due October 4th – submission on Brightspace Note: We haven’t covered everything in it yet, but we will before the deadline. 1. Compute the following expressions: √ 128 4 2 = (a) −3 − (−3) − 5 · √4 64 (b) 3 (4 + 𝜋)2 − | − 𝜋2 | + 2−1 22 − 102 = (c) 8 3 − 56 − + 2 9 4 −3 = −2 1 + (d) − −3 5 −2 = 2. Write the sets in the simplest form and graph them. (a) {𝑥 ∈ N | 𝑥 < 20} ∩ (−𝜋, 3𝜋] (b) (−∞, −𝜋) ∪ (−4, ∞) (c) (−5, 6] ∩ (3, 10) (d) [−7, 2] ∩ [2, 3] (e) Z ∩ (−3𝜋, 5) 3. Simplify using the laws of exponents and/or radicals: √ √ 4 3 3 𝑥 · 𝑥 𝑦4 = (a) √ 6 2√ 𝑦 𝑥 3√ 4 (9𝑎𝑏)− 2 𝑎 6 (b) √ 15 𝑏 −5 4. Write the polynomials in standard form: (a) (2𝑥 − 1)(3𝑥 + 5) (b) (−3𝑥 + 4)(𝑥 2 − 2𝑥 + 1) (c) −(𝑥

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