Practice -Product, Power & Quotient Rules of Exponents

Front

What is the Product Rule of Exponents?

Back

The Product Rule states that when multiplying two expressions with the same base, you add the exponents. For example, x^a * x^b = x^(a+b).

Front

Simplify the expression: x^3 * x^5

Back

x^8

Front

What is the Power Rule of Exponents?

Back

The Power Rule states that when raising a power to another power, you multiply the exponents. For example, (x^a)^b = x^(a*b).

Front

Simplify the expression: (x^2)^4

Back

x^8

Front

What is the Quotient Rule of Exponents?

Back

The Quotient Rule states that when dividing two expressions with the same base, you subtract the exponents. For example, x^a / x^b = x^(a-b).

Front

Simplify the expression: x^10 / x^4

Back

x^6

Front

What happens when you multiply a number by a negative exponent?

Back

Multiplying by a negative exponent means taking the reciprocal of the base raised to the positive exponent. For example, x^-a = 1/x^a.

Front

Simplify the expression: 5x^3 * -2x^2

Back

-10x^5

Front

What is the result of (3x^2)(4x^3)?

Back

12x^5

Front

Simplify the expression: (2m^4)(-5m^2)

Back

-10m^6