S.chand class 6 Mathematics Chapter 12 Exercise 12A

 Exercise 12A

Question 1

1. Write the exponential form of each expression.

(i) $5 \times 5 \times 5 \times 5 \times 5$

(ii) $-7 x-7 x-7 x-7$

(iii) $\frac{3}{4} \times \frac{3}{4} \times \frac{3}{4} \times \frac{3}{4} \times \frac{3}{4}$

Question 2

2. Find the values of

(i) $4^{4}$

(ii) $(-8)^{3}$

(iii) $\left(\frac{3}{5}\right)^{2}$

(iv) $\left(-\frac{4}{5}\right)^{3}$

(v) $(-2)^{9}$

3. Write the following numbers as power of 7 .

(i) 7

(ii) 49

(iii) 343

(iv) 2401

4. Simplify.

(i) $(-4)^{3} \times(-1)^{8} \times 3^{2}$

(ii) $\left(\frac{3}{5}\right)^{2} \times\left(-\frac{1}{3}\right)^{3} \times 2^{4}$

(iii) $3^{4}+4^{3}+5^{2}$

Multiple Choice Question (MCQ)

Tick (✔) the correct option.

5. Write the prime factorisation of 864 in exponential form.

(a) $2^{4} \times 3^{3}$

(b) $2^{5} \times 3^{4}$

(c) $2^{5} \times 3^{3}$

(d) $2^{4} \times 4 \times 3^{3}$