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 expressions with the same base, you can add the 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 different bases?

Back

When multiplying different bases, you cannot combine the exponents. For example, a^m * b^n remains as is.

Front

How do you simplify (x^2)(x^5)?

Back

Using the Product Property, (x^2)(x^5) = x^(2+5) = x^7.

Front

What is the value of 3^2 * 3^3?

Back

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

Front

Can you apply the Product Property to fractions?

Back

Yes, you can apply the Product Property to fractions. For example, (1/2)^3 * (1/2)^2 = (1/2)^(3+2) = (1/2)^5.

Front

What is the result of 5^0?

Back

Any non-zero number raised to the power of 0 is 1. Therefore, 5^0 = 1.

Front

How do you express 4^3 * 4^2 in simplified form?

Back

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

Front

What is the Product Property of Exponents used for?

Back

It is used to simplify expressions involving exponents, making calculations easier.

Front

If a^2 * a^3 = a^x, what is x?

Back

x = 2 + 3, so x = 5.