Question

5. For each pair of numbers, circle the number that is greater. a. 11² 13² or b. 3³ or C. 5³ or 4.3² 10²

​

Answer 1

answer: 13^2, 5^3, 10^2

first method: find the values of the numbers and compare

11^2 = 121
13^2 = 169
3^3 = 27
5^3 = 125
4.3^2 = 18.49
10^2 = 100

therefore:
13^2 > 11^2
5^3 > 3^3
10^2 > 4.3^2

second method: look at the bases and compare them. since the exponents are the same, you can cancel them out by taking the square/cube roots of both numbers.

13 > 11
5 > 3
10 > 4.3

therefore:
13^2 > 11^2
5^3 > 3^3
10^2 > 4.3^2