Understanding Indices

Lucy explains how negative and fractional indices work, building on the four laws of indices. She demonstrates the negative indices law by showing how x to the negative power is equivalent to one divided by x to the positive power. Fractional indices are explained as power over root, where the denominator is the root and the numerator is the power. Lucy provides examples and encourages viewers to practice with questions. The video concludes with a summary of the six laws of indices and their importance in algebraic processes.

What should you do if you have forgotten the four laws of indices?

• Skip to the end of the video.

• Ask a friend for help.

• Review them before continuing.

• Ignore them and proceed with the video.

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CCSS.8.EE.A.1

What happens to a negative exponent when simplifying an expression?

• It becomes zero.

• It remains negative.

• It moves to the denominator and becomes positive.

• It moves to the numerator and becomes positive.

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CCSS.8.EE.A.1

In the expression x^(-3), what does the negative exponent indicate?

• The expression is undefined.

• x should be in the denominator with a positive exponent.

• x should be multiplied by 3.

• x should be divided by 3.

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What does the denominator in a fractional exponent represent?

• The base of the power.

• The reciprocal of the base.

• The root of the number.

• The exponent of the power.

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CCSS.HSN.RN.A.2

How is a fractional exponent like 3/2 interpreted?

• Square root the number and then cube it.

• Cube the number and then square root it.

• Add 3 and 2 to the number.

• Multiply the number by 3 and then by 2.

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What is the 'power over root' concept in fractional indices?

• The power is always larger than the root.

• The root is applied before the power.

• The power is applied before the root.

• The power is on top and the root is on the bottom.

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CCSS.HSN.RN.A.2

When simplifying fractional indices, which step is recommended to do first?

• Always do the root first.

• Do both simultaneously.

• Always do the power first.

• It doesn't matter which is done first.

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CCSS.8.EE.A.1

How should you approach combining negative and fractional indices?

• It can be done in any order.

• Always do the negative first.

• Always do the root first.

• Always do the power first.

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CCSS.8.EE.A.1

What is the importance of the six laws of indices?

• They help solve complex sums and are important for algebraic processes.

• They are only used in geometry.

• They are only useful for simple calculations.

• They are not important for algebra.

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What should you do if you have questions after watching the video?

• Rewatch the video.

• Comment below the video.

• Ignore your questions.

• Ask a friend.

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