Properties of Exponents and Powers

The video tutorial covers exponent properties, including the product of powers, power of a power, and power of a product. Each property is explained with examples, demonstrating how to simplify expressions using these rules. The tutorial concludes with a word problem that applies these concepts to real-world scenarios.

What is the product of powers property?

• Multiply the exponents and keep the base.

• Multiply the bases and add the exponents.

• Add the bases and multiply the exponents.

• Add the exponents and keep the base.

If you have a power raised to another power, what should you do with the exponents?

• Subtract the exponents.

• Multiply the exponents.

• Add the exponents.

• Divide the exponents.

How do you apply the power of a product property?

• Divide the exponent among the factors.

• Add the exponents of each factor.

• Distribute the exponent to each factor.

• Multiply the exponents of each factor.

What is the simplified form of 2^4 * 2^5?

• 2^9

• 2^20

• 2^1

• 2^8

How would you simplify (3^4)^3?

• 3^9

• 3^1

• 3^12

• 3^7

What is the result of (2x)^3?

• 2x^3

• 2^3x

• 2^3 + x^3

• 2^3 * x^3

What is the simplified form of 3^2 * 3^3?

• 3^1

• 3^9

• 3^6

• 3^5

How do you simplify (x^5)^4?

• x^20

• x^9

• x^10

• x^1

If you have 64 gigabytes, how many bytes is that in terms of powers of 2?

• 2^6

• 2^30

• 2^36

• 2^64

What is the exponent form of 2^30 * 2^6?

• 2^36

• 2^30

• 2^6

• 2^24