**ML Aggarwal CBSE Solutions Class 6 Math 4th Chapter Exponents and Powers Exercise 4.1**

**Ex 4.1:**

**(1) Fill in the blanks:**

(i) In the expression 3^{7}, base = …. And exponent = …..

(ii) In the expression (-7)^{5}, base = ….. and exponent = ……

(iii) In the expression (2/5)^{11} base = …. And exponent = …..

(iv) If base is 6 and exponent is 8, then exponential form = ____

**(2) Find the value of the following:**

(i) 2^{6}

(iii) 5^{5}

(iii) (-6)^{4}

(iv) (2/3)^{4}

(v) (-2/5)^{5}

(vi) (-2)^{9}

**(3) Express the following in the exponential form:**

(i) 6 x 6 x 6 x 6 x 6

(ii) t x t x t

(iii) 2 x 2 x a x a x a x a

(iv) a x a x a x c x c x c x c x d

**Solution: **

**(4) Simplify the following**

(i) 7 x 10^{3}

(ii) 2^{5} x 9

(iii) 3^{3} x 10^{4}

**(5) Simplify the following**

(i) (-3) x (-2)^{3}

(ii) (-3)^{2} x (-5)^{2}

(iii) (-2)^{3} x (-10)^{4}

(iv) (-1)^{9}

(v) 25^{2} x (-1)^{31}

(vi) 4^{2} x 3^{3} x (-1)^{122}

**(6) Identify the greater number in each of the following:**

(i) 4^{3} or 3^{4}

(ii) 7^{3} or 3^{7}

(iii) 4^{5} or 5^{4}

(iv) 2^{10} or 10^{2}

**Solution:**

(i) 7 x 10^{3}

= 7 x (10 x 10 x 10)

= 7 x 1000

= 7000

**(7) Write the following numbers as power of 2:**

(i) 8

(ii) 128

(iii) 1024

**(8) To what power (-2) should be raised to get 16?**

**Solution: **

**(9) Write the following numbers as powers of (-3):**

(i) 9

(ii) -27

(iii) 81

**(10) Find the value of x in each of the following:**

(i) 7^{x} = 343

(ii) 3^{x} = 729

(iii) (-8)^{x} = -512

(iv) (-4)^{x} = -1024

(v) (2/5)^{x} = 32/3125

(vi) (-3/4)^{x} = – 243/1024

**(11) Write the prime factorization of the following numbers in the exponential form:**

(i) 72

(ii) 360

(iii) 405

(iv) 540

(v) 2280

(vi) 3600

(vii) 4725

(viii) 8400

**Solution: **