Simplifying Exponents and Powers

The video tutorial covers simplifying algebraic expressions using exponent rules. It begins with simplifying expressions with zero exponents, explaining that any number raised to the power of zero equals one. The tutorial then moves on to simplifying fractions by subtracting exponents when the bases are the same. It concludes with multiplying and dividing expressions with exponents, emphasizing the importance of adding and subtracting exponents correctly. The video provides step-by-step examples to illustrate these concepts, ensuring a clear understanding of exponent rules in algebra.

What is the result of any number raised to the power of zero?

• The number itself

• Zero

• Negative one

• One

Tags

CCSS.8.EE.A.1

How do you simplify 6x^4 * y^0 * 4x^0?

• 24x^0

• 24x^4

• 6x^4

• 10x^4

Tags

CCSS.8.EE.A.1

When dividing expressions with the same base, what operation is performed on the exponents?

• Multiply the exponents

• Subtract the exponents

• Add the exponents

• Divide the exponents

Tags

CCSS.8.EE.A.1

What is the simplified form of z^6 / z^4?

• z^0

• z^24

• z^10

• z^2

Tags

CCSS.8.EE.A.1

How do you handle negative exponents in a fraction?

• Leave them as they are

• Move them to the opposite part of the fraction

• Subtract them from the denominator

• Add them to the numerator

Tags

CCSS.8.EE.A.1

What is the result of raising a power to another power?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

Tags

CCSS.8.EE.A.1

In the expression 2^-2 / 3^-2, what is the simplified form?

• 9/4

• 3/2

• 2/3

• 4/9

Tags

CCSS.8.EE.A.1

What is the simplified form of x^20 * x^-6?

• x^14

• x^6

• x^26

• x^0

Tags

CCSS.8.EE.A.1

How do you simplify y^5 * y^-3?

• y^2

• y^8

• y^15

• y^0

Tags

CCSS.8.EE.A.1

What is the final simplified form of x^7 / y^4?

• x^4 / y^7

• x^0 / y^0

• x^7 / y^4

• x^3 / y^4

Tags

CCSS.8.EE.A.1