Algebra B: The Laws of Exponents - Multiplication

Front

What is the Law of Exponents for Multiplication?

Back

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

Front

Simplify: 2^3 * 2^2

Back

2^5 or 32.

Front

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

Back

The negative exponent indicates the reciprocal. For example, a^-n = 1/a^n.

Front

Simplify: x^4 * x^3

Back

x^7.

Front

What is the result of multiplying x^2 and x^-5?

Back

x^-3 or 1/x^3.

Front

Simplify: 3^2 * 3^3

Back

3^5 or 243.

Front

What is the Law of Exponents for Zero Exponent?

Back

Any non-zero base raised to the power of zero equals one. For example, a^0 = 1.

Front

Simplify: n^3 * n^4 * n^2

Back

n^9.

Front

What is the result of multiplying 5^2 and 5^0?

Back

5^2 or 25.

Front

Simplify: (2x^3)(3x^2)

Back

6x^5.