Here's a simple example of using the React Redux Toolkit to manage the state in a React application:

Let's assume we want to create a simple counter application.

1. First, make sure you have a React project set up.

2. Install Redux Toolkit:

    npm install @reduxjs/toolkit react-redux
   

3. Create a Redux store with Redux Toolkit:

   Create a file named store.js:

    import { configureStore, createSlice } from '@reduxjs/toolkit';
   
    // Define a slice with initial state and reducer
    const counterSlice = createSlice({
      name: 'counter',
      initialState: {
        value: 0,
      },
      reducers: {
        increment: (state) => {
          state.value += 1;
        },
        decrement: (state) => {
          state.value -= 1;
        },
      },
    });
   
    // Extract the actions and reducer from the slice
    export const { increment, decrement } = counterSlice.actions;
    export const counterReducer = counterSlice.reducer;
   
    // Create the Redux store
    export const store = configureStore({
      reducer: {
        counter: counterReducer,
      },
    });
   

4. Create a React component to display the counter:

   Create a file named Counter.js:

    import React from 'react';
    import { useSelector, useDispatch } from 'react-redux';
    import { increment, decrement } from './store'; // Import actions
   
    const Counter = () => {
      const count = useSelector((state) => state.counter.value);
      const dispatch = useDispatch();
   
      return (
        <div>
          <h1>Counter: {count}</h1>
          <button onClick={() => dispatch(increment())}>Increment</button>
          <button onClick={() => dispatch(decrement())}>Decrement</button>
        </div>
      );
    };
   
    export default Counter;
   

5. Update your App.js to include the Counter component:

    import React from 'react';
    import { Provider } from 'react-redux';
    import Counter from './Counter';
    import { store } from './store'; // Import the Redux store
   
    const App = () => {
      return (
        <Provider store={store}>
          <div>
            <h1>React Redux Toolkit Counter App</h1>
            <Counter />
          </div>
        </Provider>
      );
    };
   
    export default App;
   

When you run your React application, you should see a counter that goes up and down when you click the buttons. This example shows how to use Redux Toolkit's createSlice function to set up a part of the state with reducers and actions. It also explains how to use useSelector and useDispatch hooks to work with the Redux store in React components.