Mastering Integer Exponent Rules

Mr. Buffington introduces integer exponents, focusing on negative exponents and the exponent rule for same bases. He explains how negative exponents move numbers and become positive, and demonstrates the rule with examples. The zero exponent rule is also covered, showing why any number to the power of zero equals one. A word problem illustrates the practical application of these rules, emphasizing the importance of having the same base to add exponents.

What is the equivalent of 2 to the power of -4?

• 2 to the power of -2

• 1 over 2 to the power of 4

• 2 to the power of 4

• 1 over 2 to the power of -4

What happens to a number with a negative exponent when moved to the denominator?

• The exponent becomes positive

• The base changes

• The exponent remains negative

• The exponent becomes zero

If you have 3 to the power of 4 times 3 to the power of 2, what is the result?

• 3 to the power of 2

• 3 to the power of 6

• 3 to the power of 8

• 3 to the power of 12

What is the rule for multiplying numbers with the same base?

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

• Add the exponents

What is 7 to the power of 7 times 7 to the power of -3?

• 7 to the power of 10

• 7 to the power of 4

• 7 to the power of -4

• 7 to the power of 0

How do you rewrite 8 to the power of -4?

• 1 over 8 to the power of -4

• 1 over 8 to the power of 4

• 8 to the power of -2

• 8 to the power of 4

What is the result of 11 to the power of 2 times 11 to the power of -2?

• 11 to the power of 2

• 11 to the power of 4

• 11 to the power of 0

• 11 to the power of -4

What is the value of any number raised to the power of 0?

• Undefined

• The number itself

• 0

• 1

If a teacher speaks 10 to the power of 4 words per class and teaches 10 to the power of 3 classes per year, how many words are spoken per year?

• 10 to the power of 8

• 10 to the power of 7

• 10 to the power of 9

• 10 to the power of 6

What is the result of multiplying 10 to the power of 4 by 10 to the power of 3?

• 10 to the power of 4

• 10 to the power of 1

• 10 to the power of 7

• 10 to the power of 12