GCSE Secondary Maths Age 13-17 - Algebra: Indices - Explained

The video tutorial covers solving mathematical problems involving indices, cube roots, square roots, and negative indices. It explains the short method for solving these problems, emphasizing the rules of indices, such as multiplying and dividing indices, and handling negative indices. The tutorial provides step-by-step solutions to three parts of a question, demonstrating the application of these rules to find the final answers.

What is the simplified form of the cube root of 8 times 10 to the power of 6?

• 2

• 100

• 200

• 20

How do you express the square root of 144 using indices?

• 144 to the power of -1/2

• 144 to the power of 1/2

• 144 to the power of 1/3

• 144 to the power of 2

What is the result of 64 to the power of -1/3?

• 1/4

• 4

• 16

• 1/16

How can 81 be expressed as a power of 3?

• 3 to the power of 5

• 3 to the power of 4

• 3 to the power of 3

• 3 to the power of 2

What is the value of x in the equation 3 to the power of 2x equals 1/81?

• -4

• 2

• -2

• 4

Which rule of indices is used when a power is raised to another power?

• Multiply the indices

• Subtract the indices

• Add the indices

• Divide the indices

What happens when a number is raised to a negative index?

• It remains the same

• It becomes zero

• It becomes negative

• It becomes 1 over the number with a positive index