Question

4.
Evaluate:
a) (-1/3) to the power of 3
b) 4 to the power of -3​

Answer 1

a)

$( \frac{ - 1}{3} ) {}^{3} \\ \\ \frac{ (- 1) {}^{3} }{3 {}^{3} } = \: \: (find \: cube \: of \: - 1and3) \\ \\ = \frac { - 1}{27}$

b)

$4 {}^{ - 3} = \\ = \frac{1}{4 {}^{3} } \\ \: \: find \: cube \: of \: 4 = 64 \\ = \frac{1}{64}$

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