Simplifying Exponents and Powers

This video tutorial reviews the rules of exponents, including multiplication, division, and handling negative exponents. It demonstrates how to simplify expressions by applying these rules, combining like terms, and solving complex problems. The tutorial emphasizes the importance of rewriting expressions to avoid negative exponents and provides step-by-step solutions to various exponent problems.

What is the result of $a^5 \times a^7$ using the multiplication rule?

• a^10

• a^2

• a^12

• a^35

How do you simplify $b^3$ raised to the 4th power?

• b^7

• b^12

• b^1

• b^9

What is the simplified form of $g^{-3}$?

• g^3

• 1/g^3

• g^{-3}

• g^0

What is the value of $6^0$?

• 0

• 6

• 1

• Undefined

Simplify $10^9 / 10^7$.

• 10^16

• 10^1

• 10^0

• 10^2

Combine and simplify: $a^5 \times a^0$.

• a^1

• a^10

• a^5

• a^0

What is the result of $x^9 / x^8$?

• x^9

• x^8

• x^0

• x^1

Simplify $a^{-5} \times a^2$.

• a^7

• a^{-7}

• a^3

• a^{-3}

What is the simplified form of $g^{-3} / g^{-7}$?

• g^{-10}

• g^4

• g^{-4}

• g^10

Simplify $a^6 / b^3 c^5$.

• a^6 / b^3 c^0

• a^6 b^3 / c^5

• a^6 / b^3 c^5

• a^6 b^3 c^5