Exponent Rules and Simplification

This video tutorial explains the rules for multiplying and dividing exponents. It covers how to handle exponents with the same base, the process of adding and subtracting exponents, and provides examples of both multiplication and division. The tutorial also addresses how to deal with negative exponents and simplify expressions, offering practical examples throughout.

What is the basic rule for multiplying exponents with the same base?

• Subtract the exponents

• Add the exponents

• Divide the exponents

• Multiply the exponents

When multiplying x^2 and x^7, what is the resulting exponent of x?

• x^14

• x^9

• x^7

• x^5

How do you simplify y^5 * y^9?

• y^45

• y^14

• y^4

• y^9

What is the result of multiplying 5^2 * 6^2 * 6^3?

• 5^2 * 6^6

• 5^2 * 6^5

• 5^5 * 6^2

• 5^3 * 6^5

In the expression -9x^2 * 2x^3, what is the coefficient of the result?

• -9

• 9

• 18

• -18

What is the simplified form of 5x^5 * 7x^3?

• 35x^15

• 12x^15

• 12x^8

• 35x^8

How do you simplify y^8 * y^10?

• y^2

• y^80

• y^18

• y^10

What is the result of a^5 * a^7?

• a^7

• a^35

• a^2

• a^12

What is the rule for dividing exponents with the same base?

• Divide the exponents

• Add the exponents

• Multiply the exponents

• Subtract the exponents

How do you simplify x^9 / x^4?

• x^5

• x^4

• x^13

• x^3