**Title: Understanding Exponent Rules****Objective:**Fill in the blanks using the rules for exponents.**Instructions:**Apply the rules of exponents to complete each expression.---(a) \( x = x^1 \) ✔️- **Explanation:** Any number raised to the power of 1 is the number itself.(b) \( x^s \cdot x^t = x^{st} \) [Incorrect] ❌- **Correct Explanation:** The rule states that when you multiply powers with the same base, you add the exponents: \( x^s \cdot x^t = x^{s+t} \).(c) \( (xy)^b = (xy)^b \) [Incorrect] ❌- **Correct Explanation:** When raising a product to a power, distribute the exponent: \( (xy)^b = x^b \cdot y^b \).(d) \( (a^t)^q = a^{tq} \) ✔️- **Explanation:** When raising a power to another power, multiply the exponents.(e) \( \frac{x^s}{x^t} = \frac{x^s}{x^t} \) [Incorrect] ❌- **Correct Explanation:** When dividing powers with the same base, subtract the exponents: \( \frac{x^s}{x^t} = x^{s-t} \).(f) \( \left(\frac{a}{b}\right)^w = \left(\frac{a}{b}\right)^w \) [Incorrect] ❌- **Correct Explanation:** When raising a fraction to a power, apply the exponent to both the numerator and the denominator: \( \left(\frac{a}{b}\right)^w = \frac{a^w}{b^w} \).---**Need Help?** Click "Read It" for additional resources.

Name: **Title: Understanding Exponent Rules****Objective:**Fill in the blan
Uploaded: 2024-03-20T06:46:03.000Z
Channel: Bartleby
Description: **Title: Understanding Exponent Rules****Objective:**Fill in the blanks using the rules for exponents.**Instructions:**Apply the rules of exponents to complete each expression.---(a) \( x = x^1 \) ✔️- **Explanation:** Any number raised to the power