我用这种方法解决了我同样的问题，你需要遵循2个简单的步骤。我是AndroidX用户，所以对我来说，首先我在构建中实现了这个依赖。Gradle文件在我的项目中的依赖项部分。

实现“androidx.multidex: multidex: 2.0.1”

dependencies {
//for multidex
implementation 'androidx.multidex:multidex:2.0.1'

}

在构建中添加此依赖项后。Gradle文件，然后再次同步您的项目

现在添加到“defaultConfig”部分:

multiDexEnabled真实

defaultConfig {
    applicationId "com.papel.helper"
    minSdkVersion 16
    targetSdkVersion 28
    versionCode 1
    versionName "1.0"
    testInstrumentationRunner "androidx.test.runner.AndroidJUnitRunner"

    multiDexEnabled true
  
}

现在重新构建你的项目并运行:)

他的问题在这里，移除它

compile 'com.google.android.gms:play-services:11.8.0'

why?

注意:不要使用组合play-services目标。它带来了几十个库，使您的应用程序变得臃肿。相反，只指定应用程序使用的特定谷歌Play服务api。

使用你所需要的https://developers.google.com/android/guides/setup

比如位置服务

com.google.android.gms:play-services-location:11.8.0

对于云消息传递

com.google.android.gms:play-services-gcm:11.8.0

在构建应用程序

apply plugin: 'com.android.application'
android {
compileSdkVersion 28
defaultConfig {
    applicationId "com.proyecto.marketdillo"
    minSdkVersion 14
    targetSdkVersion 28
    versionCode 1
    versionName "1.0"
    testInstrumentationRunner "android.support.test.runner.AndroidJUnitRunner"
    multiDexEnabled true
}
buildTypes {
    release {
        minifyEnabled false
        proguardFiles getDefaultProguardFile('proguard-android-optimize.txt'), 'proguard-rules.pro'
    }
  }
}
dependencies {
implementation fileTree(dir: 'libs', include: ['*.jar'])
implementation 'com.android.support:appcompat-v7:28.0.0-rc02'
implementation 'com.google.firebase:firebase-core:16.0.7'
implementation 'com.android.support.constraint:constraint-layout:1.1.3'
implementation 'com.android.support:support-v4:28.0.0-rc02'
implementation 'com.android.support:design:28.0.0-rc02'
implementation 'com.google.firebase:firebase-auth:16.1.0'
implementation 'com.squareup.picasso:picasso:2.5.2'
testImplementation 'junit:junit:4.12'
androidTestImplementation 'com.android.support.test:runner:1.0.2'
androidTestImplementation 'com.android.support.test.espresso:espresso-core:3.0.2'
implementation 'com.google.firebase:firebase-firestore:17.1.5'
implementation 'com.android.support:multidex:1.0.3'
}
apply plugin: 'com.google.gms.google-services'

如果你在Proguard中使用minifyEnabled，你可能不需要启用multi-dex。我同意MG Developer的观点，如果可能的话，你应该尽量避免使用多重索引。我的解决方案是只对调试版本启用multi-dex。minifyEnabled解决了发布版本的问题

buildTypes {
    release {
        minifyEnabled true
        proguardFiles getDefaultProguardFile('proguard-android.txt'), 'proguard-rules.pro'
    }
    debug {
        // getting error: Cannot fit requested classes in a single dex file.  # methods: 65537 > 65536
        // https://developer.android.com/studio/build/multidex
        // minifyEnabled true (used with release) will fix this by getting rid of unused method calls, but this will hide debugging info on crash
        multiDexEnabled true
    }
}

只需将此代码添加到应用程序或模块的build.gradle中即可

android {
    defaultConfig {
        ...
        
        multiDexEnabled true <------ * here
    }
    ...
}

修改应用程序或模块的build.gradle

android {
    defaultConfig {
        ...
        minSdkVersion 21 <----- *here
        targetSdkVersion 26
        multiDexEnabled true <------ *here
    }
    ...
}

根据官方文件

Multidex support for Android 5.0 and higher Android 5.0 (API level 21) and higher uses a runtime called ART which natively supports loading multiple DEX files from APK files. ART performs pre-compilation at app install time which scans for classesN.dex files and compiles them into a single .oat file for execution by the Android device. Therefore, if your minSdkVersion is 21 or higher, you do not need the multidex support library. For more information on the Android 5.0 runtime, read ART and Dalvik.

https://developer.android.com/studio/build/multidex