Exploring 8th Grade Math Concepts in CAASPP Practice Test

The video tutorial explains how to solve a practice test problem involving exponents. It begins by introducing the problem, which requires finding the value of n in the equation 5^N = 5^11 * 5^3. The tutorial then explains that when multiplying powers with the same base, the exponents are added together. This is demonstrated by showing that 5^11 * 5^3 equals 5^14, as there are a total of fourteen fives being multiplied. Finally, the video concludes by stating that the value of n is 14.

What is the first step in solving the equation 5 to the N equals 5 to the 11th times 5 to the Third?

• Divide the exponents

• Subtract the exponents

• Multiply the bases

• Add the exponents

Why do we add the exponents when multiplying powers with the same base?

• It simplifies the multiplication process

• It's a rule defined in algebra

• It results in a smaller exponent

• It's easier than subtracting

What does 5 to the 11th times 5 to the third equal?

• 5 to the 33rd

• 5 to the 8th

• 5 to the 5th

• 5 to the 14th

How many times is the base 5 multiplied in the equation before simplification?

• 11 times

• 14 times

• 8 times

• 3 times

What is the value of n in the equation 5 to the N equals 5 to the 14th?

• 5

• 14

• 3

• 11

Why is understanding how to manipulate exponents important in algebra?

• It helps in solving complex equations

• It makes equations harder to solve

• It's only useful for equations with base 5

• It's not important