Laws of Exponents Review

What is the law of exponents for multiplying powers with the same base?

• When multiplying powers with the same base, subtract the exponents: a^m * a^n = a^(m-n).

• When multiplying powers with the same base, multiply the bases and keep the exponent the same: a^m * a^n = a^(m*n).

• When multiplying powers with the same base, add the exponents: a^m * a^n = a^(m+n).

• When multiplying powers with the same base, take the average of the exponents: a^m * a^n = a^((m+n)/2).

Simplify: (x^4y^2)/(xy^3)

• x^3/y

• x^2/y^2

• x^4/y^3

• x^5/y

What is the law of exponents for raising a quotient to a power?

• (a/b)^n = a^n / b^n

• (a/b)^n = a^n + b^n

• (a/b)^n = a^n - b^n

• (a/b)^n = a^n * b^n

Simplify: (2x^3)(3x^2)

• 6x^4

• 6x^5

• 6x^6

• 6x^3

Simplify: (x^3y^2)^2

• x^5y^4

• x^6y^2

• x^6y^4

• x^4y^6

What is the result of x^5 * x^(-3)?

• x^2

• x^3

• x^1

• x^8

Simplify: x^3 * x^2

• x^4

• x^5

• x^6

• x^3

What is the law of exponents for dividing powers with the same base?

• When dividing powers with the same base, add the exponents: a^m / a^n = a^(m+n).

• When dividing powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

• When dividing powers with the same base, multiply the exponents: a^m / a^n = a^(m*n).

• When dividing powers with the same base, take the square of the base: a^m / a^n = a^(m^2).

What is the law of exponents for raising a product to a power?

• (ab)^n = a^n + b^n

• (ab)^n = a^n * b^n

• (ab)^n = a^n / b^n

• (ab)^n = a^n - b^n

Simplify: (x^2)^3

• x^5

• x^4

• x^6

• x^8