Laws of Exponents

What is the power of a quotient rule in exponents?

• When raising a quotient to a power, apply the exponent to both the numerator and the denominator: (a/b)^n = a^n / b^n.

• The exponent applies only to the numerator: (a/b)^n = a^n / b.

• The exponent applies only to the denominator: (a/b)^n = b^n / a.

• The exponent is ignored when dealing with quotients: (a/b)^n = a/b.

What is the quotient of powers rule in exponents?

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

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

• When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

• When adding two powers with the same base, keep the base and add the exponents: a^m + a^n = a^(m+n).

What is the power of a product rule in exponents?

• When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

• The exponent applies only to the first factor in the product: (ab)^n = a^n * b.

• The product of the factors is raised to the power: (ab)^n = ab^n.

• The exponent is distributed equally among the factors: (ab)^n = (a^n)(b^n).

What does @@ a^m \times a^n @@ equal?

• @@ a^{m+n} @@

• @@ a^{m-n} @@

• @@ a^{m\cdot n} @@

• @@ a^{m/n} @@

How do you simplify @@ (6x^2)(-3x^5) @@?

• -18x^7

• -9x^7

• 18x^7

• -18x^5

• 5^6

• 5^7

• 5^8

• 5^5

What is the power of a power rule in exponents?

• When raising a power to another power, add the exponents: (a^m)^n = a^(m+n).

• When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

• When raising a power to another power, subtract the exponents: (a^m)^n = a^(m-n).

• When raising a power to another power, divide the exponents: (a^m)^n = a^(m/n).

How do you convert @@9^{-3}@@ to a positive exponent?

• @@rac{1}{9^3}@@

• @@9^3@@

• @@-9^3@@

• @@rac{9^3}{1}@@

What is the definition of an exponent?

• An exponent indicates how many times to multiply the base by itself.

• An exponent is a number that represents the square root of a base.

• An exponent is a symbol used to denote a fraction.

• An exponent is a term used to describe the logarithm of a number.