5 × 10^10 / 5 × 10^−4
4 × 10^14
4 × 10^13
1 × 10^14
1 × 10^13
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To solve the expression ( frac{5 times 10^{10}}{5 times 10^{-4}} ), we can simplify it as follows:
1. Cancel the coefficients: The 5s in the numerator and the denominator cancel each other out, so we have:
[
frac{5}{5} = 1
]
2. Subtract the exponents: For the powers of 10, we subtract the exponent in the denominator from the exponent in the numerator:
[
10^{10 – (-4)} = 10^{10 + 4} = 10^{14}
]
So, putting it all together, we have:
[
1 times 10^{14}
]
Thus, the correct answer is 1 × 10^14.