Laws Of Indices - Part 1

Lucy introduces the laws of indices, essential for solving complex problems and understanding algebra. The video covers four laws: multiplying indices by adding powers, dividing indices by subtracting powers, raising a power to a power by multiplying powers, and understanding that any number to the power of zero equals one. Each law is explained with examples, emphasizing the importance of having the same base. The video concludes with practice questions and a prompt to watch part two for fractional and negative indices.

What is the primary benefit of understanding the laws of indices?

• They make solving complex problems easier.

• They simplify addition and subtraction.

• They help in memorizing mathematical formulas.

• They are only useful for calculus.

When multiplying indices, what must be true about the bases?

• They must be negative.

• One must be zero.

• They must be the same.

• They must be different.

What should you do if you encounter different bases while multiplying indices?

• Add the powers anyway.

• Multiply the bases.

• Convert them to the same base.

• Leave them as they are.

What operation is performed on the powers when dividing indices?

• Subtraction

• Division

• Multiplication

• Addition

What happens to the powers when raising a power to another power?

• They are subtracted.

• They remain unchanged.

• They are multiplied.

• They are added.

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

• Infinity

• One

• The number itself

• Zero

Why does anything to the power of zero equal one?

• It is a result of multiplication.

• It is an exception to the rule.

• Due to the properties of fractions and division.

• Because it is a mathematical rule.