University:
High School
Course:
High School Mathematics
Academic year:

2023
Views:

28

Pages:

2
Author:

anon

Exponents Quiz Solution 1. Write each of the following in expanded form and then evaluate. [2,2,2] 3 4 a) 5 = 5× 5× 5 = 125 b) (− 2) = (− 2)(− 2)(− 2)(− 2) = 16 2 c)− 3 =− (3 × 3) =− 9 2. Simplify each of the following. [1,1,1] 2 a) 𝑚 × 𝑚 =𝑚 =𝑚 6 (3×73) b) 𝑏 2+6 7 5 c) 𝑘 ÷ 𝑘 5−2 =𝑘 =𝑏 8 2 3 21 =𝑘 =𝑏 [2,2,2] d) (3𝑥) 4 ( 2) 5+1 e) 5𝑎 (− 2𝑎) 4 4 =3 𝑥 = 81𝑥 =− 10𝑎 4 6 =− 10𝑎 3 4 3 ( )3 3 3 3 4 = 2 (𝑑 ) (𝑒 ) 3×3 4×3 f) 2𝑑 𝑒 = 8𝑑 𝑒 9 12 = 8𝑑 𝑒 [3,2,5] g) ( ) 4 3𝑥 5 2 = 2 h) 5 7 3𝑦 i) 7 4 2 ( ) = 3 𝑥 2 5 12𝑦 7 3𝑦 7−7 = 4𝑦 8 = 2 6𝑦 ×2𝑦 9𝑥 25 = 4𝑦 = 4 0 3 5 3 2 5+3 1+1 8𝑔 ℎ 3 1+2 8 = 16𝑔 ℎ = 16𝑔 ℎ 8𝑔 ℎ 11 3 8 2 8𝑔 ℎ 11−8 3−2 ℎ = 2𝑔 ℎ 4 𝑤𝑘 2+1 3+4 = 12𝑤 𝑘 = 12𝑤 𝑘 2 5 𝑤𝑘 3 7 2 5 𝑤𝑘 3−2 7−5 = 12𝑤 𝑘 𝑔 8 2 3 2 3 2 ( 4) ℎ2 𝑔 ℎ4 𝑔 = 2𝑔 −4𝑤 𝑘 )(−3𝑤𝑘 ) 3. a) Simplify ( 2 5 ) 2𝑔 ℎ×4𝑔 ℎ 2 = 2 4 ( 𝑔 ℎ× 4𝑔 ℎ = 12𝑤𝑘 2 b) Use the simplified expression from part (a) to evaluate if w=-3 and k=1 12𝑤𝑘 2 = 12(− 3)(1) = (− 36)(1) =− 36 2