Product rule exponents

Front

What is the product rule for exponents?

Back

The product rule states that when multiplying two expressions with the same base, you add their exponents: a^m * a^n = a^(m+n).

Front

Simplify the expression: x^3 * x^5.

Back

x^8.

Front

What happens to the exponents when multiplying two variables with the same base?

Back

You add the exponents.

Front

Simplify the expression: 2a^4 * 3a^2.

Back

6a^6.

Front

If a^m * a^n = a^p, what is the relationship between m, n, and p?

Back

p = m + n.

Front

Simplify the expression: (x^2)(x^3)(x^4).

Back

x^9.

Front

What is the result of multiplying a variable by itself?

Back

It is the variable raised to the power of 2.

Front

Simplify the expression: 5b^3 * 2b^2.

Back

10b^5.

Front

What is the simplified form of c^5 * c^0?

Back

c^5.

Front

If you multiply -4x^2 by x^3, what is the result?

Back

-4x^5.