Simplify Expressions with

In the following exercises, write with a rational exponent.

3

141. Ⓒ√m² (√³)(#)'

142. ⒸVT (√2pq)³√()*

143. VT² (6) ©√()'

144. ⒸVⓇ (√21v)³ Ⓒ √( ) ²

in the following exercises, simplify.

64 817 Ⓒ (-27)

146.25 @9-(-64)

147, 3227- (-25) *

148.100 49-Ⓒ (-100)*

149,0-9-9-Ⓒ (-9)

150.-647-64-Ⓒ (-64)

Use the Laws of Exponents to Simplity Expressions with Rational Exponents

In the following exercises, simplity. Assume all variables are positive.

151. Oct -ct (p²²) Ⓒ

152. @t-ot (6¹) Ⓒ

153.yt-yt (¹²) Ⓒ.

145.

pe

154.@gt-qt ® (hº) @

155. © (27gt) * (atst) ³

6

150. © (648²) *

(mint)*/nSection 8.3 Exercises

Practice Makes Perfect

Simplify expressions with a

In the following exercises, write as a radical expression.

119, Ⓒzt Oyt ©zt

120. Ort stott

121. Out out t

122. @gt ©ht @j

In the following exercises, write with a rational exponent.

123. VTⒸVⒸ Vi

124.FⓇVⓇ Vi

125.7c12dⒸ2/66

126. Ⓒ 5x ® √y Ⓒ7y/3z

127. √21p √8q © 4√3ör

128, 25a √36 Ⓒ √40c

In the following exercises, simplify.

129, 81125 Ⓒ647

130.6251243† Ⓒ 32+

131. 16:16 625*

132.64 32817

133.(-216)-216 (216)-

134.(-1000)-1000 (1000)

135.(-81) -81 (81) +

136. (-49) -49 © (49)-+

137. (-36) -36 © (36)-

138,(-16)-16 16-

139,(-100)-100 (100)

140. (-32) (243)¯† Ⓒ-125+

Simplity Expressions with a

In the following exercises, write with a rational exponent.

141. √m³ (√3y)* ® √ (+) ¹

142. ⒸVT © (2pq)³√(1)

143. VT²(V) Ⓡ√()

144. (√210)¹ √()²

in the following exercises, simplity.