Question

The Property states that a power multiplied by another power with the same base is equal to the base raised to the sum of the exponents. And _______________ is an algebraic expression that contains at least one term containing an exponent. The Property states that a quotient raised to a positive power is equal to the quotient of each base raised to that power. The Property states that a power divided by another power with the same base is equal to the base raised to the difference of the exponents.

A) Exponential Expression.
B) Polynomial.
C) Binomial.
D) Rational Expression.

Answer 1

An exponential expression is an algebraic expression containing at least one term with an exponent. The product rule of exponents states that a power multiplied by another power with the same base is equal to the base raised to the sum of the exponents. The quotient rule of exponents states that a power divided by another power with the same base is equal to the base raised to the difference of the exponents.

Step-by-step explanation:

The algebraic expression that contains at least one term containing an exponent is called an Exponential Expression. This type of expression is used to represent repeated multiplication of a base number. The Property that states a power multiplied by another power with the same base is equal to the base raised to the sum of the exponents is known as the Product Rule of Exponents.

For example, if we have (x^2)(x^3) = x^(2+3) = x^5.

The Property that states a power divided by another power with the same base is equal to the base raised to the difference of the exponents is called the Quotient Rule of Exponents.

For example, if we have (x^5)/(x^2) = x^(5-2) = x^3.