Exploring the Laws of Exponents

This video tutorial reviews exponent rules, starting with the basic parts of an exponent: the base and the exponent itself. It covers rules for multiplying exponents with the same base, raising a power to another power, handling exponents with different bases, and dealing with fractions. The tutorial also explains how to divide exponents with the same base and introduces the concept of negative exponents, showing how they relate to fractions.

What is the term used to describe the number or letter that gets multiplied by itself in a power?

• Variable

• Base

• Exponent

• Coefficient

What is the value of a base raised to the first power?

• Undefined

• The base itself

• 1

• 0

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

• 1

• 0

• The number itself

• Undefined

When multiplying powers with the same base, what do you do with the exponents?

• Multiply them

• Divide them

• Subtract them

• Add them

What is the result of raising a power to another power?

• You multiply the exponents

• You divide the exponents

• You subtract the exponents

• You add the exponents

When you have a product of powers with different bases raised to a power, how is the exponent applied?

• To the product of the bases

• To both bases separately

• Only to the second base

• Only to the first base

How do you handle a fraction raised to a power?

• Only the denominator is raised to the power

• Only the numerator is raised to the power

• The fraction is converted to a decimal before raising to the power

• Both the numerator and denominator are raised to the power separately

What happens when you divide powers with the same base?

• You divide the exponents

• You subtract the exponent of the denominator from the exponent of the numerator

• You multiply the exponents

• You add the exponents

If you have x to the power of m divided by x to the power of n, what is the resulting exponent?

• m - n

• m/n

• mn

• m + n

What does a negative exponent indicate?

• The base raised to the power of zero

• The reciprocal of the base raised to the positive exponent

• The power is undefined

• The base is negative