Simplifying Radicals Quiz

What is the first step in simplifying x raised to the 5th power under a square root?

• Multiply the expression by itself

• Break down the expression into perfect squares

• Add the index to the exponent

• Divide the exponent by the index

How can x raised to the 7th power be simplified under a square root?

• By multiplying by the index

• By subtracting the index from the exponent

• By adding 1 to the exponent

• By selecting an exponent divisible by the index

In the third example, what is the correct way to simplify y raised to the 3rd power?

• Divide the exponent by 3

• Add 1 to the exponent

• Multiply the exponent by 2

• Break it down into y squared times y

What is the first step in simplifying the square root of 32?

• Add 16 to it

• Factor it into 16 times 2

• Multiply by 2

• Divide by 4

How is x raised to the 7th power simplified in the fourth example?

• By subtracting 1 from the exponent

• By multiplying by 2

• By factoring it into x to the 6th power times x

• By adding 3 to the exponent

What is the cube root of 8 in the fifth example?

• 1

• 3

• 2

• 4

In the sixth example, how is 54 factored to simplify the cube root?

• Into 9 times 6

• Into 27 times 2

• Into 18 times 3

• Into 12 times 4

What is the cube root of x cubed?

• x squared

• x

• 1

• x cubed

How is y to the 7th power simplified in the sixth example?

• By adding 3 to the exponent

• By factoring it into y to the 6th power times y

• By subtracting 1 from the exponent

• By multiplying by 2

What is the final simplified form of the expression in the sixth example?

• 3x squared y

• 2x squared y

• 2x cubed y

• 3x y squared