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Part 1 ( 0.5 point) Note that the question is asking for the value of the exponent, not the numeric answer to the mathematical expression. \( \frac{1 \times 10^{15}}{1 \times 10^{35}}=1 \times 10^{?} \) Part 2 ( 0.5 point)

Ask by Robbins Ball. in the United States
Jan 24,2025

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The exponent is \(-20\).

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Bonus Knowledge

To solve the exponent part, you can use the rule of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \). Here, you have \( 10^{15} \) divided by \( 10^{35} \), which gives \( 10^{15-35} \). So, the exponent becomes \( 15 - 35 = -20 \). Therefore, this simplifies to \( 1 \times 10^{-20} \). So, for Part 1, the value of the exponent is \(-20\). For Part 2, you're just reiterating the solution or maybe applying it to another situation, but based on your query, the answer remains consistent! Just remember, when dividing numbers in scientific notation, simply subtract the exponents for an efficient solution!

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