Multiply Exponents

Front

What is the product of two exponents with the same base?

Back

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

Front

Simplify: 10xy^3 * 8x^5y^3

Back

80x^6y^6

Front

What is the rule for multiplying exponents?

Back

The rule states that when multiplying exponents with the same base, you add the exponents.

Front

Simplify: s^-5 * s^-2

Back

1/s^7

Front

What happens when you multiply a variable with a negative exponent?

Back

The variable can be rewritten as a fraction. For example, a^-n = 1/a^n.

Front

Simplify: 6m^3n^3 * 8m^2n^3

Back

48m^5n^6

Front

What is the product of coefficients when multiplying monomials?

Back

Multiply the coefficients (numerical parts) together while applying the exponent rules to the variables.

Front

Simplify: 7u^2v^5 * 9uv^3

Back

63u^3v^8

Front

What is the result of multiplying two variables with the same exponent?

Back

You add the exponents. For example, x^m * x^n = x^(m+n).

Front

Simplify: uv * 4uv^5

Back

4u^2v^6