## Algebra: A Combined Approach (4th Edition)

a. 16 b. 4 c. 81 d. 9 e. $\frac{8}{125}$ f. .64
Any number, x, to a power, n, is multiplied by itself n times. The number 0 as a power would yield 1 except when the base is 0, in which case the answer would be 0. Also, 1 would yield the same base, x, when x is not 0 however, in which case the answer would be 0. a. $4^{2} = 4\times4 = 16$ The number 4 in this case is the base, and 2 is the power. b. $2^{2} = 2\times2 = 4$ c. $3^{4} = 3\times3\times3\times3=81$ d. $9^{1} = 9$ Any number, other than 0 ,to the power of 1 is the same number. e. $(\frac{2}{5})^{3}=(\frac{2}{5})\times(\frac{2}{5})\times(\frac{2}{5})=\frac{8}{125}$ f. $(.8)^{2}=.8\times.8=.64$