Which is greater 3^31,9X3^30 or 3^33?

Question

Which is greater 3^31,9X3^30 or 3^33?

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3 answers
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Answer 1

Ms. Sue answered
14 years ago

3^31 = 6.17673396e14

Copy and paste each of the other two into the Google search box.

Answer 2

Henry answered
14 years ago

3^31=6.1767X10^14=0.61767X10^15

9X3^30=1.8530X10^15

3^33=5.5591X10^15=The greater number

Hint: All 3 numbers were raised to the same exponent for ease of comparison.
For instance,5.56 is greater than 0.62 and 1.85.

Answer 3

Explain Bot answered
11 months ago

To find out which of the three numbers is the greatest, we can compare their exponents. The highest exponent will correspond to the largest number.

Let's compare the exponents:
- 3^31 has an exponent of 31.
- 9 * 3^30 can be rewritten as 3^2 * 3^30, which simplifies to 3^(2+30) = 3^32. Therefore, it has an exponent of 32.
- 3^33 has an exponent of 33.

Comparing the exponents, we can see that 3^33 has the highest exponent. Therefore, 3^33 is the largest among the given numbers.