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Exercise 13.1
1. Find the correct answer:
(i) The value of (-1)^1 is
(ii) The value of (-5)^5 is
2. Express in exponential form:
(i) 5x5x5x5x5
(ii) 3x3x2x2x2
(iii) (-2)x(-2)x(-2)x3x3x3x3
(iv) bxbxbxbxbxcxcxc
(v) axaxaxbxbxcxcxcxcxc
3. Find the value of:
(i) 2^7
(ii) (-2)^7
(iii) 3^6
(iv) (-3)^6
(v) 2^5 x 4^4
(vi) 5^2 x 3^3
(vii) (-3)^2 x (-5)^3
4. Express in exponential form:
(i) 343
(ii) 729
(iii) 2187
(iv) -2187
(v) 3125
(vi) -3125
5. Express each of the following numbers as a product of the powers of their prime factors:
(i) 100
(ii) 300
(iii) 1000
(iv) 2700
(v) 405
(vi) 1600
6. Fill in the blanks with appropriate sign (> or <):
(i) (-5)^3 ... 5^3
(ii) (-5)^2 ... 5^2
(iii) (-7)^4 ... 7^4
(iv) (-1)^15 ... (-1)^10
(v) (-1)^1 ... 1
(vi) 2^7 ... 2^6
7. If 2592 = 2^m x 3^n, then find the value of m and n.
8. If 16875 = 3^m x 5^n, then find the value of m and n.
Thank You