7 laws of exponent. Explain with examples
Answers
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.
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laws of exponent explain with exples