For the following numbers, decide whether each number is less than or greater than one million without using a calculator. Explain.

1. 3^6 (3 to the 6th)

2. 9^5 (9 to the 5th)

3. 12^6 (12 to the 6th)

Question

Taye

Mathematics

24 October, 04:53

For the following numbers, decide whether each number is less than or greater than one million without using a calculator. Explain.

1. 3^6 (3 to the 6th)

2. 9^5 (9 to the 5th)

3. 12^6 (12 to the 6th)

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Answers (1)

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Hayden Huber · Answer 1

Focus on one million first: 10^6 = 1,000,000.

Then it becomes obvious that 3^6 is less than one million, because the base 3 is smaller than the base 10 in 10^6.

Next: 9^5: Both the base (9) and the exponent (5) are smaller than the base (10) and the exponent (6) of 10^6. What is your conclusion?

For the following numbers, decide whether each number is less than or greater than one million without using a calculator. Explain.1. 3^6 (3 to the 6th)2. 9^5 (9 to the 5th)3. 12^6 (12 to the 6th)

For the following numbers, decide whether each number is less than or greater than one million without using a calculator. Explain.

1. 3^6 (3 to the 6th)

2. 9^5 (9 to the 5th)

3. 12^6 (12 to the 6th)