S.chand class 6 Mathematics Chapter 12 Exercise 12B

 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) $-1$