Write the ‘product law of exponents’ and give one example.
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Answer:
Laws of Exponents
Multiplying Powers with same Base. For example: x² × x³, 2³ × 2⁵, (-3)² × (-3)⁴ ...
Dividing Powers with the same Base. For example: ...
Power of a Power. For example: (2³)², (5²)⁶, (3² )−3. ...
Multiplying Powers with the same Exponents. For example: 3² × 2², 5³ × 7³ ...
Negative Exponents. ...
Power with Exponent Zero. ...
Fractional Exponent.
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Step-by-step explanation:
. 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.
Consider the following:
1. 2³ × 2² = (2 × 2 × 2) × (2 × 2) = 23+2 = 2⁵
2. 3⁴ × 3² = (3 × 3 × 3 × 3) × (3 × 3) = 34+2 = 3⁶
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