ACTIVITY 2: EVALUATING LAWS OF EXPONENTS
Direction: Evaluate the following:
6)
1) (x¹⁰)(x¹2)
2) (y³)(y⁸)
3) (m¹⁵)³
4) (d³)²
5) (2⁴)(2⁰)
6) (3²)(3)(3)
Direction: Evaluate the following:
6)
1) (x¹⁰)(x¹2)
2) (y³)(y⁸)
3) (m¹⁵)³
4) (d³)²
5) (2⁴)(2⁰)
6) (3²)(3)(3)
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answer;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
5.aᵐ × aⁿ = am+n
6.Similarly, (ab)ᵐ × (ab)ⁿ = (ab)m+n
explanition: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