Properties of Exponents and Simplification

This video tutorial covers the properties of exponents, including multiplication, division, and exponentiation of fractions. It explains how to handle negative and zero exponents and provides numerous examples to illustrate these concepts. The video also includes practice problems to reinforce understanding and concludes with a summary of key points.

What is the result of multiplying two exponents with the same base, such as 2^3 * 2^2?

• 2^4

• 2^6

• 2^5

• 2^3

Tags

CCSS.8.EE.A.1

If you have (x^3)^2, what is the resulting exponent of x?

• x^5

• x^9

• x^6

• x^3

Tags

CCSS.8.EE.A.1

How do you simplify the expression (x^3 * y^7 * z^-1)^2?

• x^6 * y^14 * z^-2

• x^5 * y^14 * z^2

• x^6 * y^7 * z^2

• x^3 * y^7 * z^-1

Tags

CCSS.8.EE.A.1

How do you express (3/4)^2 using the properties of exponents?

• 3/4

• 3^2/4^2

• 3^4/4^2

• 3^2/4

Tags

CCSS.8.EE.A.1

What happens to the exponents when dividing two numbers with the same base, such as a^5/a^3?

• a^1

• a^15

• a^2

• a^8

Tags

CCSS.8.EE.A.1

How can you convert a negative exponent, like 2^-3, into a positive exponent?

• 1/2^3

• 2^3

• 1/2^-3

• 2^-3

Tags

CCSS.8.EE.A.1

What is the simplified form of 4^3 * 4^-2?

• 4^1

• 4^5

• 4^0

• 4^6

What is the equivalent root form of 5^(2/3)?

• 5^2

• Square root of 5^3

• Cube root of 5^2

• 5^3

Tags

CCSS.8.EE.A.1

What is the value of any number raised to the power of zero, such as 8^0?

• Undefined

• 8

• 1

• 0

Tags

CCSS.HSF.BF.B.5

If 2^x = 1, what is the value of x?

• 0

• 2

• -1

• 1

Tags

CCSS.HSF.BF.B.5