Exponential and Rational Expressions

The video tutorial by Jerempoling focuses on solving exponent problems, emphasizing the importance of practice in mastering mathematical concepts. It covers various types of exponent problems, including simplification, handling negative exponents, and solving equations. The tutorial provides step-by-step solutions to enhance understanding and speed in problem-solving. The video concludes with encouragement to practice more and offers additional resources for further learning.

What is the result of simplifying A^2 / A^3?

• 1/A

• A^(-1)

• A

• A^5

Tags

CCSS.8.EE.A.1

How do you simplify B^(-3) / B^4?

• B^7

• 1/B

• 1/B^7

• B

Tags

CCSS.HSA.APR.A.1

What is the simplified form of 24P^8C^(-2) / 3P^4C^(-4) when the exponent is negative?

• 8P^4C^(-2)

• 8P^4C

• 8P^4C^4

• 8P^4C^2

Tags

CCSS.6.EE.A.2C

If X = 1/3, Y = 1/5, and Z = 2, what is the value of 1/X * 1/Y * Z^2?

• 120

• 90

• 60

• 30

If X = 1/4, Y = 3, and Z = -2, what is the value of X^3 * 1/Y^5 * Z^2?

• 1/64

• 1/388

• 1/16

• 1/243

Tags

CCSS.HSN.RN.A.2

How do you rationalize the denominator of 12 / (sqrt(6) + sqrt(2))?

• Multiply by 1

• Multiply by 12

• Multiply by (sqrt(6) - sqrt(2))

• Multiply by (sqrt(6) + sqrt(2))

What is the simplified form of 4^X - 4^(X-1) = 6?

• X = 1

• X = 0

• X = 3/2

• X = 2

What is the result of simplifying 3^(X+2) + 9^X if 3^X = 5?

• 70

• 50

• 45

• 25

Tags

CCSS.6.EE.A.1

How do you express 16 as a power of 2?

• 2^2

• 2^3

• 2^4

• 2^5

What is the simplified form of 9^X = 25?

• X = 1

• X = 5/2

• X = 3/2

• X = 2