1) Reduza a uma só potência a) 4³ x 4 ²= b) 7⁴ x 7⁵ = c) 2⁶ x 2²= d) 6³ x 6 = e) 3⁷ x 3² = f) 9³ x 9 = g) 5 x 5² = h) 7 x 7⁴ = i) 6 x 6 = j) 3 x 3 ...

a) 4³ x 4² = 4^(3+2) = 4^5 = 1024 b) 7⁴ x 7⁵ = 7^(4+5) = 7^9 = 40353607 c) 2⁶ x 2² = 2^(6+2) = 2^8 = 256 d) 6³ x 6 = 6^(3+1) = 6^4 = 1296 e) 3⁷ x 3² = 3^(7+2) = 3^9 = 19683 f) 9³ x 9 = 9^(3+1) = 9^4 = 6561 g) 5 x 5² = 5^(1+2) = 5^3 = 125 h) 7 x 7⁴ = 7^(1+4) = 7^5 = 16807 i) 6 x 6 = 6^2 = 36 j) 3 x 3 = 3^2 = 9 l) 9² x 9⁴ x 9 = 9^(2+4+1) = 9^7 = 4782969 m) 4 x 4² x 4 = 4^(1+2+1) = 4^4 = 256 n) 4 x 4 x 4 = 4^3 = 64 o) m⁰ x m x m³ = m^(0+1+3) = m^4 p) 15 x 15³ x 15⁴ x 15 = 15^(1+3+4+1) = 15^9 = 470184984375 2) a) 7² x 7⁶ = 7^(2+6) = 7^8 = 5764801 b) 2² x 2⁴ = 2^(2+4) = 2^6 = 64 c) 5 x 5³ = 5^(1+3) = 5^4 = 625 d) 8² x 8 = 8^(2+1) = 8^3 = 512 e) 3⁰ x 3⁰ = 1 x 1 = 1 f) 4³ x 4 x 4² = 4^(3+1+2) = 4^6 = 4096 g) a² x a² x a² = a^(2+2+2) = a^6 h) m x m x m² = m^(1+1+2) = m^4 3) a) 5⁴ : 5² = 5^(4-2) = 5^2 = 25 b) 8⁷ : 8³ = 8^(7-3) = 8^4 = 4096 c) 9⁵ : 9² = 9^(5-2) = 9^3 = 729 d) 4³ : 4² = 4^(3-2) = 4^1 = 4 e) 9⁶ : 9³ = 9^(6-3) = 9^3 = 729 f) 9⁵ : 9 = 9^(5-1) = 9^4 = 6561 g) 5⁴ : 5³ = 5^(4-3) = 5^1 = 5 h) 6⁶ : 6 = 6^(6-1) = 6^5 = 7776 i) a⁵ : a³ = a^(5-3) = a^2 j) m² : m = m^(2-1) = m^1 = m k) x⁸ : x = x^(8-1) = x^7 l) a⁷ : a⁶ = a^(7-6) = a^1 = a 4) a) 2⁵ : 2³ = 2^(5-3) = 2^2 = 4 b) 7⁸ : 7³ = 7^(8-3) = 7^5 = 16807 c) 9⁴ : 9 = 9^(4-1) = 9^3 = 729 d) 5⁹ : 5³ = 5^(9-3) = 5^6 = 15625 e) 8⁴ : 8⁰ = 8^(4-0) = 8^4 = 4096 f) 7⁰ : 7⁰ = 1 5) a) (5⁴)² = 5^(4x2) = 5^8 = 390625 b) (7²)⁴ = 7^(2x4) = 7^8 = 5764801 c) (3²)⁵ = 3^(2x5) = 3^10 = 59049 d) (4³)² = 4^(3x2) = 4^6 = 4096 e) (9⁴)⁴ = 9^(4x4) = 9^16 = 1853020188851841 f) (5²)⁷ = 5^(2x7) = 5^14 = 6103515625 g) (6³)⁵ = 6^(3x5) = 6^15 = 470184984576 h) (a²)³ = a^(2x3) = a^6 i) (m³)⁴ = m^(3x4) = m^12 j) (m³)⁴ = m^(3x4) = m^12 k) (x⁵)² = x^(5x2) = x^10 l) (a³)⁰ = 1 m) (x⁵)⁰ = 1 6) a) (7²)³ = 7^(2x3) = 7^6 = 117649 b) (4⁴)⁵ = 4^(4x5) = 4^20 = 1099511627776 c) (8³)⁵ = 8^(3x5) = 8^15 = 35184372088832 d) (2⁷)³ = 2^(7x3) = 2^21 = 2097152 e) (a²)³ = a^(2x3) = a^6 f) (m³)⁴ = m^(3x4) = m^12 g) (a⁴)⁴ = a^(4x4) = a^16 h) (m²)⁷ = m^(2x7) = m^14 7) a) 7² - 4 = 49 - 4 = 45 b) 2³ + 10 = 8 + 10 = 18 c) 5² - 6 = 25 - 6 = 19 d) 4² + 7⁰ = 16 + 1 = 17 e) 5⁰ + 5³ = 1 + 125 = 126 f) 2³ + 2⁴ = 8 + 16 = 24 g) 10³ - 10² = 1000 - 100 = 900 h) 80¹ + 1⁸⁰ = 80 + 1 = 81 i) 5² - 3² = 25 - 9 = 16 j) 1⁸⁰ + 0⁷⁰ = 1 + 0 = 1 8) a) 3² + 5 = 9 + 5 = 14 b) 3 + 5² = 3 + 25 = 28 c) 3² + 5² = 9 + 25 = 34 d) 5² - 3² = 25 - 9 = 16 e) 18 - 7⁰ = 18 - 1 = 17 f) 5³ - 2² = 125 - 4 = 121 g) 10 + 10² = 10 + 100 = 110 h) 10³ - 10² = 1000 - 100 = 900 i) 10³ - 1¹ = 1000 - 1 = 999 9) a) 2³ x 5 + 3² = 8 x 5 + 9 = 49 b) 70⁰ + 0⁷⁰ - 1 = 1 + 0 - 1 = 0 c) 3 x 7¹ - 4 x 5⁰ = 21 - 4 x 1 = 17 d) 3⁴ - 2⁴ : 8 - 3 x 4 = 81 - 16 : 8 - 12 = 81 - 2 - 12 = 67 e) 5² + 3 x 2 - 4 = 25 + 6 - 4 = 27 f) 5 x 2² + 3 - 8 = 20 + 3 - 8 = 15 g) 5² - 3 x 2² - 1 = 25 - 12 - 1 = 12 h) 16 : 2 - 1 + 7² = 8 - 1 + 49 = 56 10) a) 5² : (5 + 1 - 1) + 4 x 2 = 25 : 5 + 8 = 5 + 8 = 13 b) (3 + 1)² + 2 x 5 - 10⁰ = 16 + 10 - 1 = 25 c) 3² : (4 - 1) + 3 x 2² = 9 : 3 + 12 = 3 + 12 = 15 d) 70 - [5 x (2² : 4) + 3²] = 70 - [5 x 1 + 9] = 70 - 14 = 56 e) (7 + 4) x (3² - 2³) = 11 x (9 - 8) = 11 x 1 = 11 f) 5² + 2³ - 2 x (3 + 9) = 25 + 8 - 2 x 12 = 25 + 8 - 24 = 9 g) 6² : 3² + 4 x 10 - 12 = 36 : 9 + 40 - 12 = 4 + 40 - 12 = 32 h) (7² - 1) : 3 + 2 x 5 = 48 : 3 + 10 = 16 + 10 = 26