Understanding Exponents and Indices

Teacher Daisy introduces indices, covering index notation, repeated multiplication, and conversion methods. She explains calculating index values using scientific calculators and the five laws of indices, including multiplication, division, and raising powers. The video also explores fractional indices and roots, providing examples and exercises for practice.

What is the base in the expression 5^3?

• 8

• 5

• 15

• 3

How many times is the base multiplied in the expression (−P)^7?

• 5

• 6

• 7

• 8

Which method can be used to convert a number into index form?

• Repeated Addition

• Repeated Division

• Repeated Exponentiation

• Repeated Subtraction

What is the result of 2^5 using repeated multiplication?

• 16

• 32

• 64

• 128

Which law of indices is used in the expression a^m * a^n = a^(m+n)?

• Multiplication Law

• Division Law

• Power of a Power Law

• Zero Exponent Law

What is the value of any number raised to the power of zero?

• 0

• Undefined

• 1

• The number itself

How is the expression 1/(3^4) written in index form?

• 3^4

• 3^0

• 1/3^4

• 3^-4

What is the cube root of 64?

• 4

• 5

• 3

• 2

What is the reciprocal of 2?

• 0

• 2

• 1

• 1/2

What is the fifth root of -32 expressed as a power?

• 32^1/5

• (-32)^5

• (-32)^1/5

• 32^5