Exploring Rational Exponents and Exponent Laws

What is the equivalent of the cubed root of a number in terms of exponents?

• Raising the number to the 1/2 power

• Raising the number to the 1/4 power

• Raising the number to the 1/5 power

• Raising the number to the 1/3 power

When raising a product of numbers to an exponent, what is the correct approach?

• Raise the entire product to the exponent

• None of the above

• Raise each number to the exponent first, then multiply

• Multiply the numbers first, then raise to the exponent

What is 64 to the 1/3 power?

• 4

• 8

• 2

• 3

How can you verify that 64 is 4 to the 3rd power?

• By subtracting 4 from 64

• By multiplying 4 three times

• By adding 4 three times

• By dividing 64 by 4

What is the simplified form of a to the 6th power raised to the 1/3 power?

• a to the 6th power

• a to the 1st power

• a to the 3rd power

• a to the 2nd power

What is the simplified form of b to the 3rd power raised to the 1/3 power?

• b to the 2nd power

• b to the 3rd power

• b to the 6th power

• b to the 1st power

What is the simplified form of c to the 9th power raised to the 1/3 power?

• c to the 6th power

• c to the 2nd power

• c to the 3rd power

• c to the 1st power

What is the final simplified form of the expression 64a^6b^3c^9 raised to the 1/3 power?

• 4a^2b^2c^3

• 4a^3bc^2

• 4a^2bc^2

• 4a^2bc^3

What is the result of 4 to the 3/3 power?

• 4

• 3

• 1

• 2

What is the simplified form of 6/3?

• 3

• 4

• 2

• 1