Understanding Powers and Exponents

What is the result of raising a product of two terms to a power?

• The difference of the terms raised to the power

• Each term raised individually to the power

• The product of the terms without raising to the power

• The sum of the terms raised to the power

How do you handle an expression with an exponent when raising it to a power?

• Add the exponents together

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

How do you handle terms without exponents when raising an expression to a power?

• Ignore them

• Double their value

• Treat them as having an exponent of zero

• Treat them as having an exponent of one

What happens to the exponents of terms in a divided expression when raised to a power?

• They are multiplied by the power

• They are added

• They are subtracted

• They remain unchanged

When simplifying a fractional expression with a negative exponent, what is the first step?

• Divide the exponents

• Move terms with negative exponents to the opposite side of the fraction

• Add the exponents

• Multiply the exponents by the negative power

How do you simplify an expression with both positive and negative exponents raised to a power?

• Subtract the negative exponents from the positive ones

• Add all exponents together

• Multiply each exponent by the power

• Ignore the negative exponents

What is the simplified form of an expression with a negative exponent in the denominator?

• Subtract it from the numerator

• Add it to the numerator

• Leave it as is

• Move it to the numerator and change the sign of the exponent

What is the result of raising a fractional expression to the negative first power?

• It doubles in value

• It becomes zero

• It becomes one

• It flips upside down to create its reciprocal

What is the effect of raising a product of terms to a negative power?

• It halves the product

• It results in a negative product

• It flips the product to its reciprocal

• It doubles the product

What is the result of raising a number to a fractional power?

• It becomes a whole number

• It becomes a fraction

• It is not possible

• It is covered in the next lecture