Solve this Power!

The video tutorial explains how to solve the problem of raising -1 and 2/3 to the third power. It begins by converting the mixed number into an improper fraction, then expands the power to avoid common mistakes. The tutorial continues with a detailed multiplication of fractions and concludes by simplifying the result. The video emphasizes understanding each step to prevent errors and encourages viewers to keep practicing math.

What is the first step in solving the power of a mixed number?

• Add the numerator and denominator

• Convert it to an improper fraction

• Convert it to a decimal

• Multiply the whole number by the power

What is the common mistake when dealing with powers of negative mixed numbers?

• Multiplying the exponent to both the numerator and the denominator

• Adding the exponent to the numerator

• Subtracting the exponent from the denominator

• Dividing the exponent by the whole number

How do you write a power in expanded form?

• By dividing the base by the exponent

• By writing the base multiplied by itself repeatedly

• By multiplying the base by the exponent

• By adding the base to itself multiple times

What is the result of multiplying -5/3 by itself twice?

• -15/9

• 25/9

• -25/9

• 15/9

What is the simplified form of -125/27?

• -4 and 5/27

• -5 and 2/27

• -3 and 20/27

• -4 and 17/27