Maths / Exponents and Power / Express as Rational Number

QUESTION

Evaluate the following.

(i)  $(-5)^3$           (ii)  $(-2)^6$

(iii)  $(3/11)^3$       (iv)  $(2/3)^1(2/3)^2(2/3)^3$

EXPLANATION
Explain TypeExplanation Content
Text

(a)  $(-5)^3=(-5)(-5)(-5)=-125$

(b)  $(-2)^6=(-2)(-2)(-2)(-2)(-2)(-2)=64$

(c)  $\left ( \frac {3}{11} \right )^3= \left ( \frac {3}{11} \right ) \left ( \frac {3}{11} \right ) \left ( \frac {3}{11} \right )= \frac {27}{1331}$

(d)  $\left ( \frac {2}{3} \right )^1 \left ( \frac {2}{3} \right )^2 \left ( \frac {2}{3} \right )^3$

$= \left ( \frac {2}{3} \right ) \left ( \frac {2}{3} \right ) \left ( \frac {2}{3} \right ) \left ( \frac {2}{3} \right ) \left ( \frac {2}{3} \right ) \left ( \frac {2}{3} \right ) = \frac {64}{729}$

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