Question

5 Victor knows that 2 + 7 = 7+2 and 2•7= 7•2

He wonders if 2^7= 7^2

Fill in the blanks to explain whether 2^7= 7^2

To write 2^7as a repeated multiplication product, write

When 2^7is written as a repeated multiplication product, the only factor

To write 7^2 as a repeated multiplication product,

is

write

When 7^2 is written as a repeated multiplication product, the only factor

is

Check for common factors. Since 27 and 72 have

common

factor(s), 2

72

Answer 1

2^7 ≠ 7^2

Explanation:

2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2

The only factor is 2

7^2 = 7 * 7

The only factor is 7

Comparing the factors when written as a repeated multiplication,

2^7 and 7^2 have no common factor :

2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2 = 128

7^2 = 7 * 7 = 49