Final answer:
2×10⁷ is ten times bigger than 2×10⁶. To find this, divide 2×10⁷ by 2×10⁶ and simplify the expression, which results in 10 to the power of 1, meaning the first number is 10 times larger.
Step-by-step explanation:
To determine how many times bigger 2×10⁷ is than 2×10⁶, we can simplify this comparison by dividing one by the other: (2×10⁷) ÷ (2×10⁶) = (2×10⁷) × (1÷(2×10⁶))
Since dividing by a number is the same as multiplying by its reciprocal, this is equal to: (2×10⁷) × (1/2×10⁶) = 2 × 1/2 × 10⁷ × 10⁻⁶
The 2 and 1/2 cancel out to 1, and when we're left with the powers of ten, we subtract the exponents (7 - 6) because of the divisor's reciprocal. This results in: 10⁷ × 10⁻⁶ = 10¹
This shows us that 2×10⁷ is ten times bigger than 2×10⁶.