Monomial Operations

Reduce 6x - 5x + x =

• 12x

• 2x

• -2x

• 3x

When multiplying monomials, what should you do with the coefficients?

• Add the coefficients

• Subtract the coefficients

• Multiply the coefficients

• Divide the coefficients

When dividing monomials with the same base, what should you do with the exponents of the bases?

• Add the exponents

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

• 4y⁶
• 4y²²
• 30y⁶
• 30y²²

Simplify.

(3x⁴y⁵)²

• 9x⁸y¹⁰

• 6x⁸y¹⁰

• 3x⁸y¹⁰

• x⁸y¹⁰

Answer explanation

To simplify the expression (3x^4y^5)^2, we raise each term inside the parentheses to the power of 2. This gives us 9x^8y^10, which is the correct choice.

• 5x

• 5x⁸

• -5x²

• 5x²

Answer explanation

To divide two exponents with the same base, subtract the exponents. Here, 5-3=2. So, the correct answer is 5x^2.