Ona💘💘💋💞, let's tackle these exponent and square root problems.

Ona💘💘💋💞, let's tackle these exponent and square root problems. Calculate. a) ((3)/(8))^4 Step 1: Apply the exponent to both the numerator and the denominator. ((3)/(8))^4 = (3^4)/(8^4) Step 2: Calculate the powers. 3^4 = 81 8^4 = 4096 The result is (81)/(4096). b) ((4)/(9))^5 Step 1: Apply the exponent to both the numerator and the denominator. ((4)/(9))^5 = (4^5)/(9^5) Step 2: Calculate the powers. 4^5 = 1024 9^5 = 59049 The result is (1024)/(59049). c) ((7)/(10))^3 Step 1: Apply the exponent to both the numerator and the denominator. ((7)/(10))^3 = (7^3)/(10^3) Step 2: Calculate the powers. 7^3 = 343 10^3 = 1000 The result is (343)/(1000). d) ((6)/(8))^2 Step 1: Simplify the fraction inside the parentheses. ((6)/(8))^2 = ((3)/(4))^2 Step 2: Apply the exponent to both the numerator and the denominator. (3^2)/(4^2) Step 3: Calculate the powers. 3^2 = 9 4^2 = 16 The result is (9)/(16). e) ((9)/(13))^3 Step 1: Apply the exponent to both the numerator and the denominator. ((9)/(13))^3 = (9^3)/(13^3) Step 2: Calculate the powers. 9^3 = 729 13^3 = 2197 The result is (729)/(2197). f) ((2)/(14))^4 Step 1: Simplify the fraction inside the parentheses. ((2)/(14))^4 = ((1)/(7))^4 Step 2: Apply the exponent to both the numerator and the denominator. (1^4)/(7^4) Step 3: Calculate the powers. 1^4 = 1 7^4 = 2401 The result is (1)/(2401). Calculate. a) sqrt((16)/(36)) Step 1: Apply the square root to both the numerator and the denominator. sqrt((16)/(36)) = sqrt(16)sqrt(36) Step 2: Calculate the square roots. sqrt(16) = 4 sqrt(36) = 6 Step 3: Simplify the fraction. (4)/(6) = (2)/(3) The result is (2)/(3). b) sqrt((25)/(169)) Step 1: Apply the square root to both the numerator and the denominator. sqrt((25)/(169)) = sqrt(25)sqrt(169) Step 2: Calculate the square roots. sqrt(25) = 5 sqrt(169) = 13 The result is (5)/(13). c) sqrt((9)/(81)) Step 1: Apply the square root to both the numerator and the denominator. sqrt((9)/(81)) = sqrt(9)sqrt(81) Step 2: Calculate the square roots. sqrt(9) = 3 sqrt(81) = 9 Step 3: Simplify the fraction. (3)/(9) = (1)/(3) The result is (1)/(3). d) sqrt((9)/(25)) Step 1: Apply the square root to both the numerator and the denominator. sqrt((9)/(25)) = sqrt(9)sqrt(25) Step 2: Calculate the square roots. sqrt(9) = 3 sqrt(25) = 5 The result is (3)/(5). e) sqrt((9)/(49)) Step 1: Apply the square root to both the numerator and the denominator. sqrt((9)/(49)) = sqrt(9)sqrt(49) Step 2: Calculate the square roots. sqrt(9) = 3 sqrt(49) = 7 The result is $*