Exponent Rules and Rational Exponents Explained

What happens when you multiply two exponents with the same base?

• You multiply the bases

• You add the exponents

• You divide the exponents

• You subtract the exponents

How do you handle a negative exponent?

• Add 1 to the exponent

• Multiply the exponent by -1

• Convert the base to its reciprocal and the exponent to positive

• Leave it as is

What does a rational exponent indicate?

• A power of ten

• A root based on the denominator of the exponent

• A complex number

• An irrational number

How do you simplify 9 to the one-half power?

• 18

• 3

• 81

• 4.5

What is the cube root of 27?

• 81

• 27

• 3

• 9

How do you rewrite a base raised to a negative exponent?

• By taking the square root of the base

• By multiplying the base by -1

• By moving the base to the denominator and making the exponent positive

• By subtracting the exponent from the base

When simplifying expressions with exponents, what should you do with a base raised to an exponent, then raised to another exponent?

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

• Add the exponents

How can you simplify an expression with a fractional exponent in the denominator?

• By multiplying the exponent by -1

• By converting the fraction to a decimal

• By moving the base to the numerator and changing the sign of the exponent

• By taking the reciprocal of the base

What is the result of simplifying x to the power of 3/2 divided by x?

• x to the power of 1/3

• x to the power of 2/3

• x to the power of 1/2

• x to the power of 5/2

If x to the power of a equals 1, what is the value of a?

• 0

• 1

• Undefined

• -1