Question

Give some rules of Power and Exponents!

Chapter: Powers and Exponents
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Level: Class 8
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Answer 1

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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