Understanding Exponents: Zero and Negative Exponents

What is the result of any non-zero number raised to the power of zero?

• The number itself

• Infinity

• Zero

• One

If x is a non-zero number, what is x^0 equal to?

• x

• 0

• 1

• x^2

How can a negative exponent be converted to a positive exponent?

• By taking the reciprocal of the base

• By adding 1 to the exponent

• By multiplying the base by itself

• By subtracting 1 from the exponent

What is the simplified form of x^-3?

• 3x

• x^-3

• 1/x^3

• x^3

Which of the following expressions is equivalent to 1/x^-2?

• x^2

• 1/x^2

• x^-2

• 2x

What is the result of simplifying (x^-3 * y^2)^-4?

• y^12 / x^8

• x^8 / y^12

• y^8 / x^12

• x^12 / y^8

In the expression -2x^-1/y^2, what is the correct way to write it with positive exponents?

• -2y/x^2

• -2x/y^2

• -2y^2/x

• -2/x^2y

What is the simplified form of -2x^-1 over x^2?

• -2x^3

• -2/x^3

• -2/x^2

• -2x^2

How do you simplify an expression with a negative exponent in the denominator?

• Subtract the exponent from the numerator

• Take the reciprocal of the base

• Add the exponent to the numerator

• Multiply the numerator by the base

What is the result of simplifying -2y^6/x^3?

• -2x^3/y^6

• -2y^3/x^6

• -2y^6/x^3

• -2/x^3y^6