p. Simplify each using exponent laws,then evaluate No decimal answers. b) 7^6div 7^2 c) (1/3)^4times (1/3)^-7 d) (4^2)^3

**b) 7⁶ ÷ 7²**<br /><br />* **Exponent Law:** When dividing with the same base, subtract the exponents. aᵐ ÷ aⁿ = a^(m-n)<br />* **Application:** 7⁶ ÷ 7² = 7^(6-2) = 7⁴<br />* **Evaluation:** 7⁴ = 7 * 7 * 7 * 7 = 2401<br /><br />**Answer:** 2401<br /><br /><br />**c) (1/3)⁴ × (1/3)⁻⁷**<br /><br />* **Exponent Law:** When multiplying with the same base, add the exponents. aᵐ × aⁿ = a^(m+n)<br />* **Application:** (1/3)⁴ × (1/3)⁻⁷ = (1/3)^(4 + (-7)) = (1/3)⁻³<br />* **Exponent Law:** A negative exponent means reciprocal. a⁻ⁿ = 1/aⁿ<br />* **Application:** (1/3)⁻³ = 1/(1/3)³ = 1/(1/27) = 27<br /><br />**Answer:** 27<br /><br /><br />**d) (4²)³**<br /><br />* **Exponent Law:** When raising a power to a power, multiply the exponents. (aᵐ)ⁿ = a^(m*n)<br />* **Application:** (4²)³ = 4^(2*3) = 4⁶<br />* **Evaluation:** 4⁶ = 4 * 4 * 4 * 4 * 4 * 4 = 4096<br /><br />**Answer:** 4096<br />