Give some rules of Power and Exponents!
Chapter: Powers and Exponents
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Level: Class 8
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Give some rules of Power and Exponents!
Chapter: Powers and Exponents
________________________
Level: Class 8
________________________
No Spam❌
Quality Answer Needed!
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Chapter: Powers and Exponents
________________________
Level: Class 8
________________________
No Spam❌
Quality Answer Needed!
Rule 1:
When the numbers having the same base are multiplied, add the exponents.
ap × aq = a(p+q)
a = base : p,q = exponents
Example 1:
Let us calculate,
32×34
Solution:
32 × 34 =3{(2+4)} = 36
In the above example, the base numbers are the same. (i.e.,) 32 and 34. The sum of the powers is 6.
Rule 2:
When the numbers having the same base are divided, subtract the exponents.
ap ÷ aq = a{(p-q)} i.e. a = base: p,q = exponents
Example 2:
34 ÷ 32 =?
Solution:
34 ÷ 32 = 3{(4-2)} = 32
In the above example, the bases are same. (i.e., 34 and 32).
Rule 3:
Multiply the powers when the numbers are raised by another number.
(ap)q = a{(pxq)} =a{(pq)}
Example 3 :
(23)2 =?
Solution:
(23)2 = 2{(3×2)} = 26