Laws of exponents class 7
What is an exponent?
Exponents are used to express large numbers in shorter form to make them easy to read, understand, compare and operate upon. The base is the number that is being repeated as a factor in the multiplication. For example,
The exponent tells you how many times the base is repeated as a factor in the multiplication . Here exponent is 3 .
Laws of exponents Class 7 questions
Laws of exponents class 7 (solved examples)
Simplify the following using laws of exponents class 7
Example 1. Find the value of .
Solution. Since for any non- zero integer
Example 2 . Evaluate
Solution. Using the rule
Example 3. Express 528 in exponential notation.
Solution. 528= 2 x 2 x 2 x 2 x 3 x 11
Example 4. Find x such that
Solution. Using the law of exponents , we get
On both the sides , powers have the same base , so their exponents must be equal. Therefore 4x= 20 or x=5.
Hence the value of x is 5.
Example 5. Solve
Example 6. Find the value of
Example 7. By what number should we multiply
According to question,
=256 ( Using the rule
Therefore , should be multiplied by 256 so that the product is equal to
Example 8. Solve
Example 9. Find m, so that
Solution. We have,
On comparing both the sides, we get 9= 2m-1
Example 10. If
Solution. For any non- zero integer .Hence
On cubing both the sides, we get .
Powers and Exponents worksheet pdf
Exponents and Powers Class 7 Extra Questions
A. Fill in the blanks:
(v) For any two non-zero integers
(ix) The prime factorisation of 216 in exponential form is = ………………
(x) 2401 as a power of 7 = ……………..
B. State whether the following statements are True /False.
(iii) For a non-zero rational number
(vii) 1° x 01 =1
(x) xm + xm = x2m, where x is a non-zero rational number and m is a positive integer.
C. (i) By what number should we multiply so that the product may be equal to
(ii) Find so that
(iii) If a=2 and b=3 then find the value of .
(v) For non-zero numbers
(vi) Express each of the following in single exponential form,
(a) 33 x 43
(b) 24 x 42
(c) 62 x 82
(d) (- 6)5 x (- 6)
(e) (- 3)3 x (- 10)3
(f) (- 11)2 x (- 5)2
Ans. A. (i) 1 (ii) -1 (iii) (iv)
B. (i) False (ii) True (iii) True (iv) False (v) True (vi) True (vii) False (viii) True (ix) False (x) False
C. (i) 27 (ii) x=8 (iii) 17 (iv) 3 (v) (vi) a)
You must be also interested in: