Exponents and Powers Simplification

The video tutorial by Jacob C Chamber covers the application of the laws of indices in simplifying mathematical expressions. It begins with an introduction to the basic laws of indices, followed by examples of simplifying expressions using these laws. The tutorial then addresses solving equations with fractional powers and demonstrates the use of reciprocals and division in indices. The video concludes with a summary of the key points discussed.

What happens to the powers when multiplying terms with the same base?

• The powers remain unchanged.

• The powers are multiplied.

• The powers are added.

• The powers are subtracted.

If a term with a positive power is moved from the denominator to the numerator, what happens to the power?

• It remains positive.

• It becomes zero.

• It doubles.

• It becomes negative.

What is the result of simplifying 3^3 * 3^-4?

• 3^1

• 3^-1

• 3^0

• 3^7

How do you simplify 27^(2/3)?

• Divide 27 by 2/3.

• Multiply 27 by 2/3.

• Find the cube root of 27 and then square it.

• Find the square root of 27 and then cube it.

What is the cube root of 27?

• 1

• 27

• 3

• 9

What is the result of 27^(2/3)?

• 12

• 9

• 6

• 3

How do you handle a negative power inside a fraction?

• Add the power to the numerator.

• Subtract the power from the denominator.

• Reciprocate the fraction.

• Ignore the negative sign.

What is the result of simplifying (1/3)^2 with a negative power outside the brackets?

• 1/9

• 3

• 1/3^2

• 3^2

When dividing fractions, what operation is performed?

• Subtraction

• Multiplication

• Division

• Addition

What is the final result of simplifying the expression (1/3)^2 * (2/3)?

• 9

• 1/6

• 6

• 1/9