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. It explains how to multiply powers with the same base, find a power of a power by multiplying exponents, and distribute exponents over products. The tutorial includes examples and a word problem involving storage to illustrate these concepts.

What is the product of powers property?

• Multiply the bases and add the exponents.

• Divide the powers with the same base and subtract their exponents.

• Add the bases and multiply the exponents.

• Multiply the powers with the same base and add their exponents.

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

• Subtract the exponents.

• Divide the exponents.

• Multiply the exponents.

• Add the exponents.

How do you apply the power of a product property?

• Divide the exponent among the factors.

• Distribute the exponent to each factor in the product.

• Multiply the exponents of each factor.

• Add the exponents of each factor.

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

• 2^8

• 2^1

• 2^20

• 2^9

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

• 3^7

• 3^12

• 3^9

• 3^1

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

• 3^2 * x^2

• 3x^2

• 3^2 + x^2

• 3x^3

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

• 2^30

• 2^36

• 2^64

• 2^6

What is the base of the expression 2^30?

• 30

• 2

• 60

• 1

How do you express 64 as a power of 2?

• 2^8

• 2^5

• 2^7

• 2^6

What is the exponent in the expression 2^36?

• 64

• 2

• 30

• 36