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Original Question
3x10 to the 4 power times 2x10 to the 3 powerQuestion
6x10 to the 6 power times 7x10 to the 1 power
Answers
GPT-4o mini
To multiply \( 6 \times 10^6 \) by \( 7 \times 10^1 \), you can follow these steps:
1. Multiply the coefficients (the numbers in front):
\[
6 \times 7 = 42
\]
2. Add the exponents of \( 10 \):
\[
10^6 \times 10^1 = 10^{6+1} = 10^7
\]
3. Combine both parts:
\[
42 \times 10^7
\]
So, the result is:
\[
42 \times 10^7
\]
If you prefer writing it in standard form:
\[
4.2 \times 10^8
\]
1. Multiply the coefficients (the numbers in front):
\[
6 \times 7 = 42
\]
2. Add the exponents of \( 10 \):
\[
10^6 \times 10^1 = 10^{6+1} = 10^7
\]
3. Combine both parts:
\[
42 \times 10^7
\]
So, the result is:
\[
42 \times 10^7
\]
If you prefer writing it in standard form:
\[
4.2 \times 10^8
\]