Exponent Rules Simplification Challenge

This video tutorial reviews exponent rules, including combining like terms, multiplying and dividing monomials, using the product and power rules, and handling negative exponents. It provides step-by-step examples to illustrate each concept, ensuring a comprehensive understanding of exponent operations.

What is the result of combining 3x²y and -5x²y?

• 2x²y

• -8x²y

• -2x²y

• 8x²y

When combining like terms, what happens to the exponents?

• They are subtracted

• They are added together

• They remain the same

• They are multiplied

What is the product of 3x² and -5xy⁵?

• 15x²y⁵

• -15x³y⁵

• -15x²y⁵

• 15x³y⁵

How do you handle exponents when multiplying monomials?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

What is (x²)⁵?

• x¹⁰

• x²⁵

• x⁵

• x⁷

What is the result of raising (3x³)²?

• 6x⁵

• 9x⁶

• 6x⁶

• 9x⁵

What is the quotient of 4x⁷y¹⁵ divided by -8x¹y¹¹?

• -1/2 x⁶y⁴

• -2x⁶y⁴

• 1/2 x⁶y⁴

• 2x⁶y⁴

When dividing monomials, what do you do with the exponents?

• Divide them

• Subtract them

• Add them

• Multiply them

How do you rewrite x⁻³ using positive exponents?

• 1/x³

• x⁻³

• x³

• 1/x⁻³

What is the simplified form of (1/2)⁻²?

• 4

• 1/4

• 1/2

• 2