6.1 Exit Ticket - Product Property of Exponents

Front

What is the Product Property of Exponents?

Back

The Product Property of Exponents states that when multiplying two powers with the same base, you can add their exponents. For example, a^m * a^n = a^(m+n).

Front

If 2^3 * 2^4 = ?

Back

2^3 * 2^4 = 2^(3+4) = 2^7 = 128.

Front

What happens when you multiply x^5 * x^2?

Back

x^5 * x^2 = x^(5+2) = x^7.

Front

How do you simplify (3^2) * (3^3)?

Back

(3^2) * (3^3) = 3^(2+3) = 3^5 = 243.

Front

What is the result of 10^0?

Back

Any non-zero number raised to the power of 0 is 1. Therefore, 10^0 = 1.

Front

If a^4 * a^2 = a^m, what is m?

Back

m = 4 + 2 = 6, so a^4 * a^2 = a^6.

Front

What is the base in the expression 5^3?

Back

The base is 5.

Front

What is the exponent in the expression 7^2?

Back

The exponent is 2.

Front

How do you express 4^3 * 4^2 using the Product Property?

Back

4^3 * 4^2 = 4^(3+2) = 4^5 = 1024.

Front

If b^6 * b^1 = b^n, what is n?

Back

n = 6 + 1 = 7, so b^6 * b^1 = b^7.