Exponential Expressions and Properties

Deborah explains how to simplify an exponential expression using the product of powers property. She demonstrates that when multiplying exponents with the same base, you can add the exponents. The example given is 1.04^4 * 1.04^2, which simplifies to 1.04^6. The focus is on understanding the property and applying it to find the exponent in the simplified expression.

What is the base of the exponential expression that Deborah is simplifying?

• 2

• 6

• 4

• 1.04

What does the product of powers property allow you to do with exponents that have the same base?

• Divide the exponents

• Add the exponents

• Subtract the exponents

• Multiply the exponents

How many times is the base 1.04 multiplied together in the simplified expression?

• 8

• 6

• 2

• 4

What is the exponent in the simplified version of the expression 1.04^4 * 1.04^2?

• 8

• 4

• 2

• 6

If you have an expression 2^3 * 2^5, what would be the exponent in the simplified form?

• 10

• 8

• 5

• 3

Which of the following expressions can be simplified using the product of powers property?

• 6^2 / 6^1

• 5^3 - 5^1

• 4^5 + 4^2

• 3^2 * 3^3