Understanding Powers Applied to Fractions

When applying a power to a fraction, what must you do with the numerator and the denominator?

• Apply the power to both separately

• Apply the power to the numerator only

• Add the power to both

• Multiply the power with the fraction

If you have a fraction with a denominator already raised to a power, how do you apply an additional power to the entire fraction?

• Multiply the powers for the denominator

• Ignore the existing power

• Apply the power only to the numerator

• Add the powers together

What is the result of raising (a/b^2)^3?

• a^3/b^5

• a^3/b^3

• a^3/b^6

• a^2/b^5

How do you simplify a fraction with the same variable in both the numerator and the denominator before applying a power?

• Multiply the exponents

• Add the exponents

• Divide the exponents

• Subtract the exponents

What is the final result of simplifying and then raising (x^-2/x^4)^3?

• x^18

• x^-18

• x^12

• x^-12