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91Ó°ÊÓ

Simplify Expressions with a1n

Write with a rational exponent.

a)7c3

b)12d7

c)35f4

Short Answer

Expert verified

Part (a)7c3=7c13

Part (b)12d7=12d17

Part (c)35f4=35f14

Step by step solution

01

Part (a) Step 1 : Given Information   

The given expression is7c3

02

Part (a) Step 2: Simplification 

The index is 3, so the denominator of the exponent is 3.

∴7c3=7c13

03

Part (b) Step 1: Given information  

The given expression is12d7

04

Part (b) Step 2: Simplification 

The index is 7, so the denominator of the exponent is 7.

∴12d7=(12d)17

05

Part (c) Step 1: Given information  

The given expression is35f4

06

Part (c) Step 2: Simplification  

The index is 4, so the denominator of the exponent is 4.

∴35f4=35f14

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