How do you write a product as a power?

What does it mean to write the product as a power?

The product of powers rule tells us that when you are multiplying two terms that have the same base, you can just add their exponents to find your answer.

How do you write a product as a power of one?

Video quote: So that's the same and then you're just multiplying the exponents. So something like 3 squared raised to the fourth. Power. Again keep this original base 3 the same. So keep this the same.

What is an example of a power of a product?

Example: Power of a Product With a Variable and Constant



Simplify (8x)⁴. The base is a product of a constant and a variable. Raise each by the given exponent.

How do you write the power in words and as a product?

Video quote: And what the rule states is that we apply that exponent to all parts of the product. Don't use the word distribute. I like to use the word apply.

How do you do powers of powers?

Video quote: So this law states that whenever raising an exponent to another exponent. In this case X to the a raised to the power of B. It's going to equal X to the a times B. The product of the two. Exponents.

How do you explain the product rule of exponents?

The product rule states that if two factors raised to an exponent are being multiplied together, and they have the same base, we can add the exponents. In this example, x and x 3 are our two factors.