Laws of Indices: Basic and Advanced Rules

The video tutorial covers the laws of indices, starting with basic rules such as any number to the power of 1 is itself, and any number to the power of 0 is 1. It then explains the basic laws of indices, including multiplication and division of powers with the same base, and raising a power to another power. The tutorial progresses to advanced topics, discussing negative indices and how they can be expressed as fractions, and fractional indices, which involve rooting by the denominator and then raising to the power of the numerator. Finally, it combines these concepts to address negative fractional indices.

What is the result of any number raised to the power of 0?

• The number itself

• Zero

• Infinity

• One

When multiplying two numbers with the same base, what should you do with the exponents?

• Subtract them

• Add them

• Multiply them

• Divide them

How do you handle a negative exponent?

• Ignore the negative sign

• Multiply by -1

• Take the reciprocal and make the exponent positive

• Add 1 to the exponent

What is the first step in dealing with fractional indices?

• Multiply the numerator and denominator

• Root by the denominator

• Subtract the numerator from the denominator

• Add the numerator and denominator

How do you simplify 6 to the power of -2?

• 1/36

• 1/12

• 36

• 12