Monomial Operations

Simplify.

• -9a³

• -9a⁶

• -24a⁶

• 30a⁶

Answer explanation

The correct answer is -9a^6 because it is the only choice with a negative sign and the highest exponent of a.

Simplify.

• -5x⁴y³

• 5x⁴y³

• 5x¹⁰y⁷

• -5x¹⁰y⁷

Answer explanation

The correct answer is 5x^4y^3 because it is the only choice that matches the given expression.

Simplify the following expression: 2c³ + 8c³

• 10c⁶

• 10c⁹

• 10c³

• 10 + c³

Answer explanation

The expression 2c^3 + 8c^3 simplifies to 10c^3. Therefore, the correct choice is 10c^3.

-20x⁶ + (-10x⁶)

• 10x¹²

• -30x⁶

• -10x⁶

• -30x¹²

Answer explanation

To subtract the terms, combine the coefficients. -20x^6 + (-10x^6) = -30x^6. Therefore, the correct answer is -30x^6.

Find the sum of 16y² and -5y².

• -11y²

• 21y²

• 11y²

• 16y² - 5y²

Answer explanation

The sum of 16y^2 and -5y^2 is 11y^2, which is the correct choice.

Subtract 9a from -15a.

• -6a

• -24a

• 24a

• 6a

Answer explanation

To subtract 9a from -15a, we subtract the coefficients: -15 - (-9) = -15 + 9 = -6. The answer is -6a.

Simplify.

• -4x²y

• 4x²y

• -4x⁸y³

• -4x³y²

Answer explanation

The correct choice is -4x^2y because it is the only option that matches the given expression.

Simplify:

(3c²)(10c⁷)

• 13c⁹

• 30c¹⁴

• 30c⁹

• 13c¹⁴

Simplify:

(7y⁴)²

• 7y⁶

• 14y⁸

• 49y⁶

• 49y⁸

Simplify.
(1.5 × 10³)²

• 3.0 × 10⁵

• 3.0 × 10⁶

• 2.25 × 10⁶

• 2.25 × 10⁵