Question

1. Evaluate each expression:
(i) 54.
(ii) (-3)3.
(iii) -72.
(iv) (2/5)3
(v) (-1)100
2. Write each number as the power of a given base:
(a) 16; base 2

(b) 81; base -3

(c) -343; base -7

Answer 1

Answer:

$2. \\ (a) \: \: \: 16 \\ = 2 \times 2 \times 2 \times 2 \\ \: \: \: \: = \: \: \underline{ \underline{{2}^{4} }} \\ \\ (b) \: \: \: 81 \\ = - 3 \times - 3 \times - 3 \times - 3 \\ \: \: \: \: = \: \: \underline{ \underline{ {( - 3)}^{4} }} \\ \\ (c) \: \: \: - 343 \\ = - 7 \times - 7 \times - 7 \\ = \: \: \underline{ \underline{{( - 7)}^{3} }}$