Top Algebra Mistake Students Make with Exponents

This video addresses common algebra mistakes involving exponents. It covers six key errors students often make, such as distributing exponents over addition, confusing exponent rules, and misapplying square roots. The video provides correct methods to overcome these mistakes, emphasizing the importance of understanding exponent rules and operations.

What is the correct expansion of (A + B)^2?

• 2A^2 + 2B^2

• A^2 + 2AB + B^2

• A^2 + AB + B^2

• A^2 + B^2

When raising a power to another power, what should you do?

• Divide the exponents

• Subtract the exponents

• Add the exponents

• Multiply the exponents

If you have a^3 * a^2, what is the correct result?

• a^9

• a^1

• a^6

• a^5

What is the correct way to handle 2 * a^3 squared?

• 2a^6

• 4a^6

• 2a^9

• 4a^9

Can you distribute a square root over addition?

• Yes, always

• No, never

• Only if the terms are positive

• Only if the terms are equal

What is the correct way to simplify 1/a^(-2) + 1/b^(-2)?

• 1/a^2 + 1/b^2

• a^(-2) + b^(-2)

• a^2 * b^2

• a^2 + b^2

What is a common mistake when dealing with negative exponents?

• Forgetting to multiply

• Incorrectly applying the reciprocal rule

• Adding instead of multiplying

• Using the wrong base