Understanding Exponent Laws

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

• The exponents remain unchanged.

• You add the exponents.

• You subtract the exponents.

• You multiply the exponents.

If you have x^3 * x^2, what is the simplified form?

• x^6

• x^5

• x^0

• x^1

If you have 3^4 divided by 3^2, what is the result?

• 3^1

• 3^2

• 3^6

• 3^0

When raising a power to another power, what operation do you perform on the exponents?

• Add the exponents.

• Subtract the exponents.

• Multiply the exponents.

• Divide the exponents.

How does an exponent affect a fraction when applied to both the numerator and the denominator?

• It only affects the denominator.

• It cancels out the fraction.

• It only affects the numerator.

• It applies to both the numerator and the denominator.

What is the result of (2/5)^4?

• 16/625

• 1/25

• 32/125

• 8/25

What is the result of (x^2/y^3)^2?

• x^4/y^6

• x^2/y^3

• x^3/y^2

• x^6/y^4

What is the result of 2^-3?

• 8

• 1/8

• 2

• 1/2

What is the reciprocal of 2^-2?

• 1/2

• 1/4

• 4

• 2

What is the simplified form of x^-3?

• 1/x

• x^3

• x^0

• 1/x^3