Multiplication Properties of Exponents Day 2

Front

What is the product of two exponential terms with the same base?

Back

When multiplying two exponential terms with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

Simplify the expression (3x^4)(4x^2). What is the result?

Back

The result is 12x^6.

Front

How do you multiply coefficients in a multiplication of monomials?

Back

You multiply the numerical coefficients together. For example, in (2a^2)(3a^3), you multiply 2 and 3 to get 6.

Front

What is the result of multiplying (6xy^3) and (4x^2y^2)?

Back

The result is 24x^3y^5.

Front

What is the rule for multiplying powers with the same base?

Back

The rule is to add the exponents. For example, x^m * x^n = x^(m+n).

Front

Simplify the expression (2m^4)(5m^2). What is the result?

Back

The result is 10m^6.

Front

What is the product of (3x^4) and (6x^6)?

Back

The product is 18x^10.

Front

When multiplying two monomials, how do you handle the variables?

Back

You multiply the coefficients and add the exponents of like bases. For example, (a^m)(a^n) = a^(m+n).

Front

What is the simplified form of (2a^2b^4z)(6a^3b^2z^5)?

Back

The simplified form is 12a^5b^6z^6.

Front

What happens to the exponents when multiplying terms with different bases?

Back

When multiplying terms with different bases, you do not combine the exponents; you simply multiply the terms as they are.