📚 Part 1: Converting Between Forms

I can convert between radical and rational exponent forms.

∛(x⁴) = x^____

Hint: The index (3) becomes the denominator, the power (4) becomes the numerator.

y^(5/2) = _____________

Hint: The denominator (2) is the index, the numerator (5) is the power.

Step 1: Write as rational exponent: (16a⁸)^____

Step 2: Apply to each factor: 16^____ × (a⁸)^____

Step 3: Simplify: ____ × a^____

Final answer: ____________

✏️ Part 2: Applying Exponent Rules

I can apply exponent rules to simplify expressions with rational exponents.

Remember: When multiplying same bases, add the exponents.

Remember: When dividing same bases, subtract the exponents.

Remember: When raising a power to a power, multiply the exponents.

Step 1: Simplify inside parentheses first: m^(1/2) × m^(3/2) = m^____

Step 2: Apply the power rule: (m^____)² = m^____

🎯 Part 3: Mixed Practice