Product and Division Law of Exponents

• a⁷
• a¹⁰
• a³
• a^-3

Simplify the exponential expression:

• 10x^-2

• 2x²

• 2x¹²

• 10x¹²

Answer explanation

To simplify the exponential expression, we keep the base (2) and add the exponents (x^-2 + x^4 = x^2). Therefore, the correct choice is 2x^2.

What is the result of raising a number with an exponent to another exponent?

• The base is multiplied and the exponents are added

• The base is multiplied and the exponents are subtracted

• The base is raised to the product of the exponents

• The base is raised to the difference of the exponents

when we are multiplying a number or variable with an exponent, we tend to add the exponents if the bases are the same, what law of exponent is this?

• power of product

• power of quotient

• quotient of power

• product of power

Simplify
(-2c²)³ (-2cd²)²

• 32c¹²d⁴

• -24c⁸d⁴

• 4c¹²d⁴

• -32c⁸d⁴

According to the product rule, when we multiply like bases we keep the base and ___________ the exponents.

• Multiply

• Add

• Divide

• Subtract

Simplify
6ab² (-a²b)²

• -6a⁵b⁴

• 5a³b³

• 12a⁵b³

• 6a⁵b⁴

Solve using the product law of exponents.

(10¹²)(10⁴)

• 10¹⁶

• 10⁴⁸

• 100¹⁶

• 100⁴⁸

Simplify
(-5x²y²) (-3x⁴y)

• 15x⁶y³

• -15x⁸y²

• 15x⁸y³

• -8x⁶y³

Solve using the product law of exponents

(5⁵)(5³)

• 25⁸

• 5¹⁵

• 25¹⁵

• 5⁸