Understanding Patterns in Powers of 4

The video tutorial explores the problem of finding the digit in the ones place of 4 raised to the power of 752. Since the number is too large for a calculator, the video identifies a pattern in the ones digit of powers of 4. It shows that when the exponent is odd, the ones digit is 4, and when the exponent is even, the ones digit is 6. Given that 752 is even, the ones digit of 4^752 is 6.

What is the main challenge in calculating 4 raised to the power of 752?

• The number is not a whole number.

• The number is too small to be significant.

• The number is too large for a calculator.

• The number is a prime number.

What is the ones place digit of 4 raised to the power of 1?

• 6

• 4

• 0

• 2

What is the ones place digit of 4 raised to the power of 2?

• 8

• 4

• 2

• 6

When the exponent of 4 is an odd integer, what is the ones place digit?

• 2

• 6

• 8

• 4

What is the ones place digit of 4 raised to the power of 752?

• 8

• 4

• 2

• 6