Laws of Indices

The video tutorial reviews the basic laws of indices, focusing on multiplication, division, and power laws. It explains the components of indices, such as the base, index, and coefficient, and demonstrates how to apply these laws through examples. The tutorial emphasizes the importance of understanding these concepts for solving problems involving indices.

What are the three main components of an expression involving indices?

• Base, exponent, and variable

• Coefficient, constant, and exponent

• Coefficient, base, and exponent

• Coefficient, variable, and constant

When multiplying indices with the same base, what operation is performed on the powers?

• The powers are subtracted

• The powers are multiplied

• The powers are added

• The powers remain unchanged

In the expression 7x^2 * 4x^4, what is the result after applying the multiplication law of indices?

• 11x^6

• 28x^6

• 28x^8

• 11x^8

What happens to the powers when dividing indices with the same base?

• The powers are multiplied

• The powers are added

• The powers remain unchanged

• The powers are subtracted

In the expression x^5 / x^3, what is the simplified form?

• x^8

• x^2

• x^15

• x^1

When raising an index to another power, what operation is performed on the powers?

• The powers are multiplied

• The powers are subtracted

• The powers are added

• The powers remain unchanged

In the expression (x^3)^4, what is the simplified form?

• x^9

• x^1

• x^12

• x^7