simply the laws of exponents 3⁸/3-²
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Step-by-step explanation:
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Laws of Exponents
The laws of exponents are explained here along with their examples.
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.
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
3. (-3)³ × (-3)⁴ = [(-3) × (-3) × (-3)] × [(-3) × (-3) × (-3) × (-3)]
= (-3)3+4
= (-3)⁷
4. m⁵ × m³ = (m × m × m × m × m) × (m × m × m)
= m5+3
= m⁸
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Answer:
3^10
Step-by-step explanation:
3^8/3^-2
3^8+2 =3^10
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