Exercise 12B
Question 1
1. Evaluate:
(i) $(-1)^{63}$
(ii) $(-1)^{78}$
(iii) $(-1)^{204}$
(iv) $(-1)^{315}$
2. Apply the laws of exponents and express each of the following as a single power.
(i) $4^{3} \times 4^{7}$
(ii) $(-12)^{2} \times(-12)^{5}$
(iii) $7^{6} \div 7^{2}$
(iv) $(-11)^{23} \div(-11)^{13}$
(v) $\left(5^{3}\right)^{2}$
(vi) $\left(2^{7}\right)^{5}$
(vii) $\left\{(-3)^{4}\right\}^{5}$
(viii) $\left(10^{5}\right)^{8}$
3. Evaluate:
(i) $13^{\circ}$
(ii) $(-4)^{0}$
(iii) $1^{0}$
(iv) $\left(\frac{500}{8193}\right)^{0}$
4. Simplify: $-(-6)^{3}+(-5)^{4}-\left(2^{3}\right)^{2} \times 10^{2} \times\left(\frac{28}{39}\right)^{0}$
Multiple Choice Question (MCQ)
Tick $(✔)$ the correct option.
5. The value of $\left(3^{2}\right)^{3}+\left\{\left(-2^{3}\right)\right\}^{3}+\left\{-\left(2^{3} \times 3^{3}\right)-8^{0}\right\}$ is
(a) 1024
(b) $-1024$
(c) 0
(d) $-1$
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