Exercises: Properties of Integer Exponents

10

25

32

64

24

11

9

6

$4 \times 4 \times 4$, three factors of 4 multiplied together

$3 \times 4$, treating the exponent as a single multiplier instead of a repeat count

$4 + 4 + 4$, adding 4 to itself three times instead of multiplying

$3^4$, swapping which number is the base and which is the exponent

$7^8$

$7^6$

$14^6$

$7^2$

$4^5$

$4^6$

$8^3$

$16^3$

-6

0

1

6

$-16$, treating the negative exponent as a sign on the result

$\frac{1}{16}$

$16$, dropping the negative sign and evaluating $2^4$ directly

$\frac{1}{8}$