Order of Operations and Exponents

The video tutorial covers the properties of integer exponents, including multiplying and dividing powers with the same base, and taking a power of a power. It explains how to simplify expressions using these properties and provides examples for practice. The tutorial emphasizes understanding the rules for manipulating exponents to write equivalent expressions and simplify complex expressions.

What does the exponent in a power expression indicate?

• The number of times the base is subtracted from itself

• The number of times the base is divided by itself

• The number of times the base is added to itself

• The number of times the base is multiplied by itself

If you have 5^3 * 5^2, what is the resulting power?

• 5^5

• 5^6

• 5^10

• 5^1

What is the simplified form of m^7 * m^4?

• m^11

• m^3

• m^28

• m^8

How do you simplify 9^8 / 9^3?

• 9^24

• 9^5

• 9^11

• 9^2

What is the result of a^15 / a^4?

• a^9

• a^4

• a^11

• a^19

What is the simplified form of (x^3)^4?

• x^16

• x^1

• x^7

• x^12

How do you simplify (2^4)^3?

• 2^7

• 2^12

• 2^16

• 2^1

What is the result of simplifying 7^2 * 7^5 * 7^8?

• 7^20

• 7^5

• 7^10

• 7^15

In the expression (6-1)^2, what should be done first according to the order of operations?

• Square the result

• Multiply by 2

• Add 6 and 1

• Subtract 1 from 6

What is the simplified form of (5^2)^4 / 5^5?

• 5^3

• 5^1

• 5^7

• 5^9