1. **State the problem:** We need to find which values among: 61 × 10⁻⁵, 0.61 × 10⁻⁵, 0.000 061, 0.000 61, 0.61 × 10⁻³, and 61 × 10⁻³ are equivalent to 6.1 × 10⁻⁴. 2. **Convert the given number to a decimal:** 6.1 × 10⁻⁴ means $$6.1 \times 0.0001 = 0.00061$$ 3. **Convert each option to decimal to compare:** - 61 × 10⁻⁵ = $$61 \times 0.00001 = 0.00061$$ - 0.61 × 10⁻⁵ = $$0.61 \times 0.00001 = 0.0000061$$ - 0.000 061 = $$0.000061$$ - 0.000 61 = $$0.00061$$ - 0.61 × 10⁻³ = $$0.61 \times 0.001 = 0.00061$$ - 61 × 10⁻³ = $$61 \times 0.001 = 0.061$$ 4. **Compare these with 0.00061:** The values equal to 0.00061 are 61 × 10⁻⁵, 0.000 61, and 0.61 × 10⁻³. 5. **Final answer:** The values equivalent to 6.1 × 10⁻⁴ are: - 61 × 10⁻⁵ - 0.000 61 - 0.61 × 10⁻³