Question

7 laws of exponent. Explain with examples​

Answer 1

Answer:

1.Multiplying powers with same base

For example: x² × x³, 2³ × 2⁵, (-3)² × (-3)⁴

In multiplication of exponents if the bases are same then we need to add the exponents.

2. Dividing powers with the same base

For example: 

3⁵ ÷ 3¹, 2² ÷ 2¹, 5(²) ÷ 5³

In division if the bases are same then we need to subtract the exponents. 

3. Power of a power

For example: (2³)², (5²)⁶, (3² )−3−3

In power of a power you need multiply the powers. 

4. Multiplying powers with the same exponents

For example: 3² × 2², 5³ × 7³

5. Negative Exponents

If the exponent is negative we need to change it into positive exponent by writing the same in the denominator and 1 in the numerator. 

If ‘a’ is a non-zero integer or a non-zero rational number and m is a positive integers, then a−m−m is the reciprocal of aᵐ, i.e., 

6. Power with exponent zero

If the exponent is 0 then you get the result 1 whatever the base is. 

For example: 800, ( a/b)00, m00…....

If ‘a’ is a non-zero integer or a non-zero rational number then, 

a00 = 1

Similarly, (a/b)00 = 1

7. Fractional Exponent

In fractional exponent we observe that the exponent is in fraction form. 

Answer 2

7

laws of exponent explain with exples