Laws of Exponents Practice

The video tutorial by Kumar covers practice questions on the application of laws of exponents. It includes three questions where solutions are expressed with positive exponents. The first question involves multiplying terms with the same base and adding exponents. The second question simplifies terms inside a fraction and applies power. The third question finds the sixth root of terms and applies the fifth power, ensuring all solutions are expressed with positive exponents.

What is the main focus of the practice questions discussed in the video?

• Trigonometry identities

• Geometry problems

• Basic arithmetic operations

• Application of laws of exponents

In the first question, what happens to the exponents when you multiply terms with the same base?

• They are subtracted

• They are divided

• They remain unchanged

• They are added

What is the simplified form of x^-8 * y^5?

• x^8 / y^5

• y^5 / x^8

• x^8 * y^5

• y^8 / x^5

In the second question, what is the result of simplifying 16 / 4?

• 4

• 2

• 1

• 8

How is a^3 / a^4 simplified?

• a^12

• a^1

• 1 / a

• a^7

What happens to b^-2 when simplified?

• b^0

• b^2 in the numerator

• b^-2 remains unchanged

• b^2 in the denominator

What is the simplified form of a^2 over 4 c^4 to the power of 2?

• a^2 / 16 c^4

• a^2 / 4 c^4

• a^4 / 16 c^8

• a^4 / 4 c^8

In the third question, what is the sixth root of 64?

• 4

• 8

• 2

• 16

What is the result of applying the fifth power to 2?

• 16

• 32

• 8

• 64

How is the expression 2 y / x simplified when raised to the power of 5?

• 32 y^5 / x^5

• 2 y^5 / x^5

• 32 y / x

• 2 y / x^5