1. -/4 pointsTGinterAlgHS 5.1.E06 EXAMPLE 6 Simplify each expression. Write answ

Question

1. -/4 pointsTGinterAlgHS 5.1.E06 EXAMPLE 6 Simplify each expression. Write answers using positive exponents only. (a) x We will use the product rule and power rule for exponents to simplify these expressions. The first expression has the form xm·x" and the second has the form (xm (b) x3-2 Strategy Why Solution (a) x-sx3-x-5 + 3 Keep the common base x and add the exponents. ,D (b) x32x2) Keep the base and multiply the exponents Self Check 7 Simplify each expression using positive exponents only. (a) a-5a3= (b) (a 2)-2-

Explanation / Answer

a) first remove the negative exponent by rewriting the a^-5 as 1/a^5. So a^-5 *a^3=(1/a^5 )*a^3=a^3/a^5.

In another way using product rule we can write a^-5 a^3=a^(-5+3)=1/a^2

b)(a^-2)^-2 =a^(-2*-2)=a^4 (using power rule)

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.